-8 + 5x = 2 + 7(9 - 3x)
Distribute the 7 on the right side: -8 + 5x = 2 + 63 - 21x
Simplify the right side: -8 + 5x = 65 - 21x
Add 21x to both sides: -8 + 26x = 65
Add 8 to both sides: 26x = 73
Divide by 26: x = 73/26 ≈ 2.80769...
Rounded to the nearest hundredth: x = 2.81
5 + 2x = 5x - 2x
Simplify the right side: 5 + 2x = 3x
Subtract 2x from both sides: 5 = x
So, x = 5.00
3x + 4 = -9(-5x + 5)
Distribute the -9 on the right side: 3x + 4 = 45x - 45
Subtract 3x from both sides: 4 = 42x - 45
Add 45 to both sides: 49 = 42x
Divide by 42: x = 49/42 = 7/6 ≈ 1.1666...
Rounded to the nearest hundredth: x = 1.17
-3(7 + 3x) = -7(8x - 4)
Distribute on both sides: -21 - 9x = -56x + 28
Add 56x to both sides: -21 + 47x = 28
Add 21 to both sides: 47x = 49
Divide by 47: x = 49/47 ≈ 1.04255...
Rounded to the nearest hundredth: x = 1.04
-2x - 2 = -6 - 5x
Add 5x to both sides: 3x - 2 = -6
Add 2 to both sides: 3x = -4
Divide by 3: x = -4/3 ≈ -1.333...
Rounded to the nearest hundredth: x = -1.33
3(3x - 6) = 4x + 7
Distribute the 3 on the left side: 9x - 18 = 4x + 7
Subtract 4x from both sides: 5x - 18 = 7
Add 18 to both sides: 5x = 25
Divide by 5: x = 5.00
2x - 2(-5 + 2x) = 5x - 3x
Simplify the right side: 2x - 2(-5 + 2x) = 2x
Distribute the -2 on the left side: 2x + 10 - 4x = 2x
Simplify the left side: -2x + 10 = 2x
Add 2x to both sides: 10 = 4x
Divide by 4: x = 10/4 = 2.5
So, x = 2.50
2x + 5(-5x - 4) = -7(-2x + 8) - 3
Distribute on both sides: 2x - 25x - 20 = 14x - 56 - 3
Simplify both sides: -23x - 20 = 14x - 59
Subtract 14x from both sides: -37x - 20 = -59
Add 20 to both sides: -37x = -39
Divide by -37: x = 39/37 ≈ 1.05405...
Rounded to the nearest hundredth: x = 1.05
-4(x + 5) - 2(x - 6) = 3x + 8
Distribute on the left side: -4x - 20 - 2x + 12 = 3x + 8
Simplify the left side: -6x - 8 = 3x + 8
Subtract 3x from both sides: -9x - 8 = 8
Add 8 to both sides: -9x = 16
Divide by -9: x = -16/9 ≈ -1.777...
Rounded to the nearest hundredth: x = -1.78
2 - 5x = 3(x - 6)
Distribute the 3 on the right side: 2 - 5x = 3x - 18
Add 5x to both sides: 2 = 8x - 18
Add 18 to both sides: 20 = 8x
Divide by 8: x = 20/8 = 2.5
So, x = 2.50
Parent Tip: Review the logic above to help your child master the concept of solving equations with variables on both sides worksheet 8th grade.
