① 5(4x + 8) = 80
Distribute 5: 20x + 40 = 80
Subtract 40: 20x = 40
Divide by 20: x = 2
② -4x = 3(x + 7)
Distribute 3: -4x = 3x + 21
Subtract 3x: -7x = 21
Divide by -7: x = -3
③ 2(x - 1) + 3x = 3
Distribute 2: 2x - 2 + 3x = 3
Combine like terms: 5x - 2 = 3
Add 2: 5x = 5
Divide by 5: x = 1
④ (3/2)(3x + 5) = -24
Multiply both sides by 2: 3(3x + 5) = -48
Distribute 3: 9x + 15 = -48
Subtract 15: 9x = -63
Divide by 9: x = -7
⑤ 3(x - 2) = 18
Distribute 3: 3x - 6 = 18
Add 6: 3x = 24
Divide by 3: x = 8
⑥ 0.25(3 + x) = 0.5
Distribute 0.25: 0.75 + 0.25x = 0.5
Subtract 0.75: 0.25x = -0.25
Divide by 0.25: x = -1
⑦ 2(3x - 1) + 2(4x + 5) = 16
Distribute: 6x - 2 + 8x + 10 = 16
Combine like terms: 14x + 8 = 16
Subtract 8: 14x = 8
Divide by 14: x = 8/14 = 4/7
⑧ -2 - 3(1 - 4x) = -53
Distribute -3: -2 - 3 + 12x = -53
Combine constants: -5 + 12x = -53
Add 5: 12x = -48
Divide by 12: x = -4
⑨ -111 = 3(7x - 2)
Distribute 3: -111 = 21x - 6
Add 6: -105 = 21x
Divide by 21: x = -5
⑩ -86 = 4 + 5(3x - 3)
Distribute 5: -86 = 4 + 15x - 15
Combine constants: -86 = -11 + 15x
Add 11: -75 = 15x
Divide by 15: x = -5
Parent Tip: Review the logic above to help your child master the concept of equations with distributive property worksheet.
