8+7x=2(-x+6)-22

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Solution for 8+7x=2(-x+6)-22 equation:


Simplifying
8 + 7x = 2(-1x + 6) + -22

Reorder the terms:
8 + 7x = 2(6 + -1x) + -22
8 + 7x = (6 * 2 + -1x * 2) + -22
8 + 7x = (12 + -2x) + -22

Reorder the terms:
8 + 7x = 12 + -22 + -2x

Combine like terms: 12 + -22 = -10
8 + 7x = -10 + -2x

Solving
8 + 7x = -10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
8 + 7x + 2x = -10 + -2x + 2x

Combine like terms: 7x + 2x = 9x
8 + 9x = -10 + -2x + 2x

Combine like terms: -2x + 2x = 0
8 + 9x = -10 + 0
8 + 9x = -10

Add '-8' to each side of the equation.
8 + -8 + 9x = -10 + -8

Combine like terms: 8 + -8 = 0
0 + 9x = -10 + -8
9x = -10 + -8

Combine like terms: -10 + -8 = -18
9x = -18

Divide each side by '9'.
x = -2

Simplifying
x = -2

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