Let’s solve each equation step by step. We’re solving for
x in each case — that means we want to get
x alone on one side of the equals sign.
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1) x + 12 = 14
→ Subtract 12 from both sides:
x = 14 - 12
x = 2
2) 11 + x = 15
→ Subtract 11 from both sides:
x = 15 - 11
x = 4
3) x - 5 = 6
→ Add 5 to both sides:
x = 6 + 5
x = 11
4) 2 + x = 8
→ Subtract 2 from both sides:
x = 8 - 2
x = 6
5) x - 3 = 2
→ Add 3 to both sides:
x = 2 + 3
x = 5
6) x - 6 = 6
→ Add 6 to both sides:
x = 6 + 6
x = 12
7) 7 + x = 14
→ Subtract 7 from both sides:
x = 14 - 7
x = 7
8) 12 - x = 7
→ This one is tricky! Let’s think:
We can rewrite it as: 12 - 7 = x (because if you take away x and get 7, then x must be what’s left when you subtract 7 from 12)
x = 5
*(Or: subtract 12 from both sides → -x = -5 → multiply both sides by -1 → x = 5)*
9) 5 + x = 9
→ Subtract 5 from both sides:
x = 9 - 5
x = 4
10) x - 10 = 2
→ Add 10 to both sides:
x = 2 + 10
x = 12
11) x + 6 = 14
→ Subtract 6 from both sides:
x = 14 - 6
x = 8
12) 7 + x = 10
→ Subtract 7 from both sides:
x = 10 - 7
x = 3
13) 10 - x = 7
→ Think: What do I subtract from 10 to get 7? That’s 3.
So x = 3
*(Or: subtract 10 → -x = -3 → x = 3)*
14) 8 + x = 16
→ Subtract 8 from both sides:
x = 16 - 8
x = 8
15) x - 9 = 1
→ Add 9 to both sides:
x = 1 + 9
x = 10
16) x + 10 = 14
→ Subtract 10 from both sides:
x = 14 - 10
x = 4
17) x - 3 = 8
→ Add 3 to both sides:
x = 8 + 3
x = 11
18) x + 7 = 9
→ Subtract 7 from both sides:
x = 9 - 7
x = 2
19) x + 7 = 19
→ Subtract 7 from both sides:
x = 19 - 7
x = 12
20) x + 2 = 10
→ Subtract 2 from both sides:
x = 10 - 2
x = 8
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Final Answer:
1) x = 2
2) x = 4
3) x = 11
4) x = 6
5) x = 5
6) x = 12
7) x = 7
8) x = 5
9) x = 4
10) x = 12
11) x = 8
12) x = 3
13) x = 3
14) x = 8
15) x = 10
16) x = 4
17) x = 11
18) x = 2
19) x = 12
20) x = 8
Parent Tip: Review the logic above to help your child master the concept of basic algebra worksheets.