9+2x=2(-x+8)-31

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Solution for 9+2x=2(-x+8)-31 equation:


Simplifying
9 + 2x = 2(-1x + 8) + -31

Reorder the terms:
9 + 2x = 2(8 + -1x) + -31
9 + 2x = (8 * 2 + -1x * 2) + -31
9 + 2x = (16 + -2x) + -31

Reorder the terms:
9 + 2x = 16 + -31 + -2x

Combine like terms: 16 + -31 = -15
9 + 2x = -15 + -2x

Solving
9 + 2x = -15 + -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.
9 + 2x + 2x = -15 + -2x + 2x

Combine like terms: 2x + 2x = 4x
9 + 4x = -15 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + 4x = -15 + 0
9 + 4x = -15

Add '-9' to each side of the equation.
9 + -9 + 4x = -15 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = -15 + -9
4x = -15 + -9

Combine like terms: -15 + -9 = -24
4x = -24

Divide each side by '4'.
x = -6

Simplifying
x = -6

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