GED Math Worksheets: FREE & Printable - Free Printable

Let’s solve each equation step by step. We’ll isolate the variable (usually “x”) on one side of the equation by doing the same thing to both sides — like adding, subtracting, multiplying, or dividing.

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1) 2 + 3 = 5
This is already true! No variable here — it’s just a fact.
✔ Answer: True

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2) -4 + 8 = 5
Left side: -4 + 8 = 4 → 4 ≠ 5
✘ Answer: False

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3) 3x - 4 = 5
Add 4 to both sides:
3x = 9
Divide by 3:
x = 3
✔ Answer: x = 3

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4) -(2 - x) = 5
Distribute the negative sign:
-2 + x = 5
Add 2 to both sides:
x = 7
✔ Answer: x = 7

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5) 2x - 8B = 12
Wait — there’s a “B” here? That might be a typo. If it’s meant to be “8”, then:
2x - 8 = 12
Add 8: 2x = 20
Divide by 2: x = 10
But if “B” is a variable, we can’t solve without more info. Let’s assume it’s a typo and should be “8”.
✔ Answer: x = 10 *(assuming B was meant to be 8)*

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6) 4x - 2 = 6
Add 2: 4x = 8
Divide by 4: x = 2
✔ Answer: x = 2

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7) 2x - 14B = 4
Again, “B” appears. Assuming typo for “4”:
2x - 14 = 4
Add 14: 2x = 18
Divide by 2: x = 9
✔ Answer: x = 9 *(assuming B was meant to be 4)*

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8) 5x + 8B = 25
Assuming “B” is typo for “0” or maybe “8”? Wait — let’s try assuming it’s “8” again:
5x + 8 = 25
Subtract 8: 5x = 17
x = 17/5 = 3.4
But that’s not nice. Maybe “B” is meant to be “x”? Then:
5x + 8x = 25 → 13x = 25 → x = 25/13 — still messy.
Alternatively, maybe it’s “5x + 8 = 25”? Then x = 17/5.
Hmm. Let’s check original image context — but since we can’t, let’s assume “B” is a typo and should be “0” → 5x = 25 → x=5.
Actually, looking at pattern — many have numbers only. Likely “B” is typo for number. In #5 it was 8B→8, here maybe 8B→8? But 5x+8=25 → x=17/5. Not integer.
Wait — maybe “B” is meant to be “x”? Then 5x + 8x = 13x = 25 → x=25/13. Still bad.
Perhaps it’s “5x + 8 = 25” and “B” is error. I’ll go with that.
✔ Answer: x = 17/5 or 3.4 *(if 5x + 8 = 25)*
But let’s double-check — maybe in original worksheet, “B” is actually “6”? 5x + 6 = 25 → 5x=19 → no.
Alternatively, perhaps “B” is “5”? 5x + 5 = 25 → 5x=20 → x=4. Nice!
Given patterns in other problems, likely “B” is typo for “5”. So:
5x + 5 = 25 → 5x = 20 → x = 4
✔ Answer: x = 4 *(assuming B was meant to be 5)*

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9) 8x + 9 = 25
Subtract 9: 8x = 16
Divide by 8: x = 2
✔ Answer: x = 2

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10) -3(2 + x) = 3
Distribute: -6 - 3x = 3
Add 6: -3x = 9
Divide by -3: x = -3
✔ Answer: x = -3

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11) -2(4 + x) = 4
Distribute: -8 - 2x = 4
Add 8: -2x = 12
Divide by -2: x = -6
✔ Answer: x = -6

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12) 2B - 6 = (-8)
Again “B”. Assume typo for “x”:
2x - 6 = -8
Add 6: 2x = -2
Divide by 2: x = -1
✔ Answer: x = -1 *(assuming B was meant to be x)*

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13) 2.2 - 1B = 20
“B” again. Probably typo. Maybe “2.2 - x = 20”?
Then: -x = 17.8 → x = -17.8
Or maybe “22 - x = 20”? Then x=2.
Looking at decimal — 2.2 is unusual. Maybe it’s “22 - 1x = 20”?
22 - x = 20 → x = 2
That makes sense. Likely “2.2” is typo for “22”.
✔ Answer: x = 2 *(assuming 2.2 was meant to be 22 and B is x)*

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14) -12 + - (2x + 4)
This isn’t an equation — no equals sign. Probably missing part.
Maybe it’s “-12 + -(2x + 4) = something”?
Without right side, can’t solve. Skip or assume =0?
If =0: -12 -2x -4 =0 → -16 -2x=0 → -2x=16 → x=-8
But this is guesswork. Since it’s incomplete, perhaps it’s a mistake.
Looking at numbering — next is 15, so maybe 14 is cut off.
I’ll skip or mark as incomplete. But for now, assume it’s =0:
✔ Answer: x = -8 *(assuming equation is -12 - (2x + 4) = 0)*

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15) 5(2 + x) = 5
Divide both sides by 5: 2 + x = 1
Subtract 2: x = -1
✔ Answer: x = -1

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16) 2x - 14B = 4
Same as #7. Already solved: x=9 (if B=4)
✔ Answer: x = 9 *(same assumption)*

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Now right column:

17) -2B = 2x + 12x
Combine right: 14x
So: -2B = 14x
If B is variable, need another equation. If B is typo for x:
-2x = 14x → -2x -14x=0 → -16x=0 → x=0
✔ Answer: x = 0 *(assuming B is x)*

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18) 2x + 15 = x + 5
Subtract x: x + 15 = 5
Subtract 15: x = -10
✔ Answer: x = -10

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19) 2.2 + 2x = -1B
Again decimals and B. Assume “22 + 2x = -x” (if B=x and 2.2=22)
22 + 2x = -x
Add x: 22 + 3x = 0
3x = -22
x = -22/3 ≈ -7.333
Not nice. Maybe “2 + 2x = -x”?
2 + 2x = -x → 2 = -3x → x = -2/3
Still messy. Or “22 + 2x = -10”? Then 2x = -32 → x=-16
Too many guesses. Perhaps “2.2” is “22” and “1B” is “10”?
22 + 2x = -10 → 2x = -32 → x = -16
✔ Answer: x = -16 *(assuming 2.2→22, 1B→10)*

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20) 22 - 2x = -8 - x
Add 2x to both sides: 22 = -8 + x
Add 8: 30 = x
✔ Answer: x = 30

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21) 30 - 2x = -8 - x
Add 2x: 30 = -8 + x
Add 8: 38 = x
✔ Answer: x = 38

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22) 30 - 2x = -10 - 2x + 4x
Simplify right: -10 + 2x
So: 30 - 2x = -10 + 2x
Add 2x: 30 = -10 + 4x
Add 10: 40 = 4x
Divide by 4: x = 10
✔ Answer: x = 10

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23) 24 - (-4) = 8 + 4
Left: 24 + 4 = 28
Right: 12
28 ≠ 12 → False
✔ Answer: False

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24) 12 = -2x + 12 + 6x
Combine like terms: 12 = 4x + 12
Subtract 12: 0 = 4x → x = 0
✔ Answer: x = 0

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25) -12 = -6 + 6x + 2x
Combine: -12 = -6 + 8x
Add 6: -6 = 8x
Divide by 8: x = -6/8 = -3/4
✔ Answer: x = -3/4

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26) 4x - 12 = -1B + 5x
Assume B=x: 4x - 12 = -x + 5x → 4x - 12 = 4x
Subtract 4x: -12 = 0 → False
No solution
✔ Answer: No solution

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27) 5x - 10 = 2x + 5
Subtract 2x: 3x - 10 = 5
Add 10: 3x = 15
Divide by 3: x = 5
✔ Answer: x = 5

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28) -7 - 3x = 2.2( -2x )
Assume 2.2 is typo for 2:
-7 - 3x = 2(-2x) = -4x
Add 4x: -7 + x = 0 → x = 7
✔ Answer: x = 7 *(assuming 2.2→2)*

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29) 4(x + 3) = 3(x + 3x)
Right: 3(4x) = 12x
Left: 4x + 12
So: 4x + 12 = 12x
Subtract 4x: 12 = 8x
Divide by 8: x = 12/8 = 3/2
✔ Answer: x = 3/2

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30) 8B - 5x = 12x - 114
Assume B=x: 8x - 5x = 12x - 114 → 3x = 12x - 114
Subtract 12x: -9x = -114
Divide by -9: x = 114/9 = 38/3 ≈ 12.666
Not nice. Maybe B is constant? Without info, hard.
Perhaps “8B” is “80”? 80 - 5x = 12x - 114
80 + 114 = 12x + 5x → 194 = 17x → x=194/17≈11.41 — still bad.
Maybe “8B” is “8* something”. Given time, I’ll assume B=x and accept fraction.
✔ Answer: x = 38/3 *(if B=x)*

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31) 4x = -4 - 8(34 + 2x)
First, distribute -8:
4x = -4 -272 -16x
4x = -276 -16x
Add 16x: 20x = -276
Divide by 20: x = -276/20 = -69/5 = -13.8
✔ Answer: x = -69/5 or -13.8

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32) -5x - 14 = 6x + 52
Add 5x: -14 = 11x + 52
Subtract 52: -66 = 11x
Divide by 11: x = -6
✔ Answer: x = -6

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Now compiling all answers clearly:

Final Answer:
1) True
2) False
3) x = 3
4) x = 7
5) x = 10 (assuming B=8)
6) x = 2
7) x = 9 (assuming B=4)
8) x = 4 (assuming B=5)
9) x = 2
10) x = -3
11) x = -6
12) x = -1 (assuming B=x)
13) x = 2 (assuming 2.2=22 and B=x)
14) x = -8 (assuming equation =0)
15) x = -1
16) x = 9 (same as 7)
17) x = 0 (assuming B=x)
18) x = -10
19) x = -16 (assuming 2.2=22, 1B=10)
20) x = 30
21) x = 38
22) x = 10
23) False
24) x = 0
25) x = -3/4
26) No solution
27) x = 5
28) x = 7 (assuming 2.2=2)
29) x = 3/2
30) x = 38/3 (assuming B=x)
31) x = -69/5
32) x = -6