2x+116=-6x+8-x

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Solution for 2x+116=-6x+8-x equation:


Simplifying
2x + 116 = -6x + 8 + -1x

Reorder the terms:
116 + 2x = -6x + 8 + -1x

Reorder the terms:
116 + 2x = 8 + -6x + -1x

Combine like terms: -6x + -1x = -7x
116 + 2x = 8 + -7x

Solving
116 + 2x = 8 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
116 + 2x + 7x = 8 + -7x + 7x

Combine like terms: 2x + 7x = 9x
116 + 9x = 8 + -7x + 7x

Combine like terms: -7x + 7x = 0
116 + 9x = 8 + 0
116 + 9x = 8

Add '-116' to each side of the equation.
116 + -116 + 9x = 8 + -116

Combine like terms: 116 + -116 = 0
0 + 9x = 8 + -116
9x = 8 + -116

Combine like terms: 8 + -116 = -108
9x = -108

Divide each side by '9'.
x = -12

Simplifying
x = -12

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