3x-15-8x+56=4x-8-16x-112

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Solution for 3x-15-8x+56=4x-8-16x-112 equation:


Simplifying
3x + -15 + -8x + 56 = 4x + -8 + -16x + -112

Reorder the terms:
-15 + 56 + 3x + -8x = 4x + -8 + -16x + -112

Combine like terms: -15 + 56 = 41
41 + 3x + -8x = 4x + -8 + -16x + -112

Combine like terms: 3x + -8x = -5x
41 + -5x = 4x + -8 + -16x + -112

Reorder the terms:
41 + -5x = -8 + -112 + 4x + -16x

Combine like terms: -8 + -112 = -120
41 + -5x = -120 + 4x + -16x

Combine like terms: 4x + -16x = -12x
41 + -5x = -120 + -12x

Solving
41 + -5x = -120 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
41 + -5x + 12x = -120 + -12x + 12x

Combine like terms: -5x + 12x = 7x
41 + 7x = -120 + -12x + 12x

Combine like terms: -12x + 12x = 0
41 + 7x = -120 + 0
41 + 7x = -120

Add '-41' to each side of the equation.
41 + -41 + 7x = -120 + -41

Combine like terms: 41 + -41 = 0
0 + 7x = -120 + -41
7x = -120 + -41

Combine like terms: -120 + -41 = -161
7x = -161

Divide each side by '7'.
x = -23

Simplifying
x = -23

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