5+2x=2(-x+8)-31

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Solution for 5+2x=2(-x+8)-31 equation:


Simplifying
5 + 2x = 2(-1x + 8) + -31

Reorder the terms:
5 + 2x = 2(8 + -1x) + -31
5 + 2x = (8 * 2 + -1x * 2) + -31
5 + 2x = (16 + -2x) + -31

Reorder the terms:
5 + 2x = 16 + -31 + -2x

Combine like terms: 16 + -31 = -15
5 + 2x = -15 + -2x

Solving
5 + 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.
5 + 2x + 2x = -15 + -2x + 2x

Combine like terms: 2x + 2x = 4x
5 + 4x = -15 + -2x + 2x

Combine like terms: -2x + 2x = 0
5 + 4x = -15 + 0
5 + 4x = -15

Add '-5' to each side of the equation.
5 + -5 + 4x = -15 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = -15 + -5
4x = -15 + -5

Combine like terms: -15 + -5 = -20
4x = -20

Divide each side by '4'.
x = -5

Simplifying
x = -5

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