5x+40=2x-7+8x-8

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Solution for 5x+40=2x-7+8x-8 equation: 


Simplifying
5x + 40 = 2x + -7 + 8x + -8

Reorder the terms:
40 + 5x = 2x + -7 + 8x + -8

Reorder the terms:
40 + 5x = -7 + -8 + 2x + 8x

Combine like terms: -7 + -8 = -15
40 + 5x = -15 + 2x + 8x

Combine like terms: 2x + 8x = 10x
40 + 5x = -15 + 10x

Solving
40 + 5x = -15 + 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.
40 + 5x + -10x = -15 + 10x + -10x

Combine like terms: 5x + -10x = -5x
40 + -5x = -15 + 10x + -10x

Combine like terms: 10x + -10x = 0
40 + -5x = -15 + 0
40 + -5x = -15

Add '-40' to each side of the equation.
40 + -40 + -5x = -15 + -40

Combine like terms: 40 + -40 = 0
0 + -5x = -15 + -40
-5x = -15 + -40

Combine like terms: -15 + -40 = -55
-5x = -55

Divide each side by '-5'.
x = 11

Simplifying
x = 11

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