Question

Solve 10+6(-9-4x)=10(x-12)+8

Answer 1

10 + 6(-9 + -4x) = 10(x + -12) + 8

10 + (-9 * 6 + -4x * 6) = 10(x + -12) + 8

10 + (-54 + -24x) = 10(x + -12) + 8

Combine like terms: 10 + -54 = -44

-44 + -24x = 10(x + -12) + 8

Reorder the terms:

-44 + -24x = 10(-12 + x) + 8

-44 + -24x = (-12 * 10 + x * 10) + 8

-44 + -24x = (-120 + 10x) + 8

Reorder the terms:

-44 + -24x = -120 + 8 + 10x

Combine like terms: -120 + 8 = -112

-44 + -24x = -112 + 10x

Solving

-44 + -24x = -112 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.

-44 + -24x + -10x = -112 + 10x + -10x

Combine like terms: -24x + -10x = -34x

-44 + -34x = -112 + 10x + -10x

Combine like terms: 10x + -10x = 0

-44 + -34x = -112 + 0

-44 + -34x = -112

Add '44' to each side of the equation.

-44 + 44 + -34x = -112 + 44

Combine like terms: -44 + 44 = 0

0 + -34x = -112 + 44

-34x = -112 + 44

Combine like terms: -112 + 44 = -68

-34x = -68

Divide each side by '-34'.

x = 2

Simplifying

x = 2

Answer 2

10 +6( -9 - 4x) = 10(x - 12) + 8

Distribute 6 and 10:

10 - 54 - 24x = 10x - 120 + 8

Combine like terms:

-44 - 24x = 10x - 112

Add 24x to both sides:

-44 = 34x - 112

Add 112 to both sides:

68 = 34x

Switch side:

34x = 68

Divide both sides by 34:

x = 2

Answer: x = 2