Solving with Variables on Both Sides worksheet - Free Printable

Educational worksheet: Solving with Variables on Both Sides worksheet. Download and print for classroom or home learning activities.

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1. x = 2
Check: 2 + 16 = 18, 9(2) = 18 → 18 = 18 ✓

2. y = -9
Check: 4(-9) - 70 = -36 - 70 = -106, 12(-9) + 2 = -108 + 2 = -106 → -106 = -106 ✓

3. p = 10
Check: 5(10 + 6) = 5(16) = 80, 8(10) = 80 → 80 = 80 ✓

4. g = 41
Check: 3(41 - 7) = 3(34) = 102, 2(10 + 41) = 2(51) = 102 → 102 = 102 ✓

5. n = 0.7
Check: 1.8 + 7(0.7) = 1.8 + 4.9 = 6.7, 9.5 - 4(0.7) = 9.5 - 2.8 = 6.7 → 6.7 = 6.7 ✓

6. w = 11
Check: (3/7)(11) - 11 = 33/7 - 77/7 = -44/7, -(4/7)(11) = -44/7 → -44/7 = -44/7 ✓

7. Let m be the number of movies.
Equation: 100 + 10m = 15m
Solve: 100 = 5m → m = 20
Check: 100 + 10(20) = 300, 15(20) = 300 → 300 = 300 ✓
Answer: 20 movies

Parent Tip: Review the logic above to help your child master the concept of solving linear equations variable on both sides worksheet.

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