Let’s solve each equation step by step. The goal is to find the value of “x” in each case. Remember: whatever you do to one side of the equation, you must do to the other side to keep it balanced.
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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
Subtract 12 from both sides:
-x = 7 - 12 → -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
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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
Subtract 10 from both sides:
-x = 7 - 10 → -x = -3
Multiply both sides by -1: →
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 solving equations worksheets.