x+108=8x-32

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Solution for x+108=8x-32 equation:


Simplifying
x + 108 = 8x + -32

Reorder the terms:
108 + x = 8x + -32

Reorder the terms:
108 + x = -32 + 8x

Solving
108 + x = -32 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
108 + x + -8x = -32 + 8x + -8x

Combine like terms: x + -8x = -7x
108 + -7x = -32 + 8x + -8x

Combine like terms: 8x + -8x = 0
108 + -7x = -32 + 0
108 + -7x = -32

Add '-108' to each side of the equation.
108 + -108 + -7x = -32 + -108

Combine like terms: 108 + -108 = 0
0 + -7x = -32 + -108
-7x = -32 + -108

Combine like terms: -32 + -108 = -140
-7x = -140

Divide each side by '-7'.
x = 20

Simplifying
x = 20

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