Practice worksheet featuring 20 algebraic equations to solve for the variable x.

Let’s solve each equation one by one to find the value of x.

We’ll go step by step for each problem. Remember: our goal is to get x alone on one side of the equals sign.

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1. x + 3 = 7
Subtract 3 from both sides:
x = 7 - 3 → x = 4

2. 5x - 2 = 8
Add 2 to both sides:
5x = 10
Divide by 5:
x = 10 ÷ 5 → x = 2

3. 5x + 4 = 22
Subtract 4:
5x = 18
Divide by 5:
x = 18 ÷ 5 → x = 3.6

Wait — let me double-check that.
5 × 3.6 = 18, plus 4 = 22 → yes, correct.

But maybe we should keep it as a fraction? 18/5 = 3 and 3/5. But since others are decimals or whole numbers, decimal is fine.

Actually, let’s check if I made a mistake — 5x + 4 = 22 → 5x = 18 → x = 3.6 ✔️

4. 4x - 7 = 11
Add 7:
4x = 18
Divide by 4:
x = 18 ÷ 4 = 4.5 → x = 4.5

5. 2x + 5 = 13
Subtract 5:
2x = 8
Divide by 2:
x = 4 → x = 4

6. 3x + 1 = 10
Subtract 1:
3x = 9
Divide by 3:
x = 3 → x = 3

7. 5x - 3 = 18
Add 3:
5x = 21
Divide by 5:
x = 21 ÷ 5 = 4.2 → x = 4.2

8. 4x + 2 = 18
Subtract 2:
4x = 16
Divide by 4:
x = 4 → x = 4

9. 2x - 4 = 6
Add 4:
2x = 10
Divide by 2:
x = 5 → x = 5

10. 3x + 5 = 16
Subtract 5:
3x = 11
Divide by 3:
x = 11 ÷ 3 ≈ 3.666... → x = 11/3 or 3.67 (rounded)

But let’s keep exact: x = 11/3

Wait — maybe the worksheet expects fractions? Let’s see pattern.

Actually, looking back, some answers are decimals, some whole numbers. We can write as fractions or decimals — but to be precise, let’s use fractions where needed.

But for consistency with student level, maybe decimals are okay if they terminate. 11/3 doesn’t terminate — so perhaps leave as fraction? Or round?

Looking at original problems — no instructions. Let’s do exact values.

So:

10. x = 11/3

But let’s continue and then decide format.

11. 2x - 1 = 5
Add 1:
2x = 6
Divide by 2:
x = 3 → x = 3

12. x + 2 = 8
Subtract 2:
x = 6 → x = 6

13. 3x + 4 = 16
Subtract 4:
3x = 12
Divide by 3:
x = 4 → x = 4

14. 5x - 5 = 20
Add 5:
5x = 25
Divide by 5:
x = 5 → x = 5

15. 2x + 1 = 9
Subtract 1:
2x = 8
Divide by 2:
x = 4 → x = 4

16. 4x - 4 = 12
Add 4:
4x = 16
Divide by 4:
x = 4 → x = 4

17. 6x + 2 = 20
Subtract 2:
6x = 18
Divide by 6:
x = 3 → x = 3

18. x - 3 = 4
Add 3:
x = 7 → x = 7

19. 5x + 3 = 18
Subtract 3:
5x = 15
Divide by 5:
x = 3 → x = 3

20. 3x - 1 = 10
Add 1:
3x = 11
Divide by 3:
x = 11/3 → x = 11/3 or 3.666...

Now, let’s list all answers clearly.

Some are repeating — like x=4 appears many times. That’s fine.

For #3: 5x+4=22 → 5x=18 → x=18/5 = 3.6
#4: 4x-7=11 → 4x=18 → x=4.5
#7: 5x-3=18 → 5x=21 → x=4.2
#10: 3x+5=16 → 3x=11 → x=11/3 ≈ 3.666...
#20: same as #10 → x=11/3

To present neatly, I’ll write exact fractions where decimal doesn’t terminate, otherwise decimal or whole number.

But for simplicity in homework context, often decimals are accepted if rounded to two places, but better to be exact.

Since this is “Solve for X”, exact form is best.

Let me rewrite all with exact values:

1. x = 4
2. x = 2
3. x = 18/5 or 3.6 → let's use 18/5 for exactness? But 3.6 is exact too since 18÷5=3.6 exactly.
Actually 18/5 = 3.6 — it terminates. So 3.6 is fine.

Similarly, 4.5, 4.2 are exact decimals.

Only 11/3 is repeating: 3.666...

So for #10 and #20, we can write as fraction 11/3 or mixed number 3 2/3.

I think for clarity, I’ll use decimals where they terminate, fractions where they don’t.

But let’s check standard practice — in middle school, often fractions are preferred for non-terminating.

Alternatively, since the worksheet didn’t specify, I’ll provide both forms where needed, but for final answer list, I’ll use simplest form.

Actually, let’s just compute numerically and list:

Final Answers:

1. 4
2. 2
3. 3.6
4. 4.5
5. 4
6. 3
7. 4.2
8. 4
9. 5
10. 11/3 or 3.666... → I'll write as 11/3 for accuracy
11. 3
12. 6
13. 4
14. 5
15. 4
16. 4
17. 3
18. 7
19. 3
20. 11/3

But to make it clean, perhaps convert all to decimals with two places where needed.

#10: 11 ÷ 3 = 3.666... → 3.67 if rounded, but better exact.

I recall that in such worksheets, sometimes they expect fractional answers.

Looking at problem 3: 5x+4=22 → x=18/5 which is 3.6 — that’s fine.

Problem 10: 3x+5=16 → 3x=11 → x=11/3 — which is approximately 3.67, but exactly 11/3.

I think for correctness, I’ll list exact values.

So here’s the complete solution set:

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Final Answer:
1. x = 4
2. x = 2
3. x = 3.6
4. x = 4.5
5. x = 4
6. x = 3
7. x = 4.2
8. x = 4
9. x = 5
10. x = \frac{11}{3}
11. x = 3
12. x = 6
13. x = 4
14. x = 5
15. x = 4
16. x = 4
17. x = 3
18. x = 7
19. x = 3
20. x = \frac{11}{3}

Note: For problems 10 and 20, the answer is the fraction eleven-thirds, which is approximately 3.67 but exactly 11/3. All other answers are exact decimals or whole numbers.