31-(2x+8)=2(x+4)+x

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Solution for 31-(2x+8)=2(x+4)+x equation: 


Simplifying
31 + -1(2x + 8) = 2(x + 4) + x

Reorder the terms:
31 + -1(8 + 2x) = 2(x + 4) + x
31 + (8 * -1 + 2x * -1) = 2(x + 4) + x
31 + (-8 + -2x) = 2(x + 4) + x

Combine like terms: 31 + -8 = 23
23 + -2x = 2(x + 4) + x

Reorder the terms:
23 + -2x = 2(4 + x) + x
23 + -2x = (4 * 2 + x * 2) + x
23 + -2x = (8 + 2x) + x

Combine like terms: 2x + x = 3x
23 + -2x = 8 + 3x

Solving
23 + -2x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
23 + -2x + -3x = 8 + 3x + -3x

Combine like terms: -2x + -3x = -5x
23 + -5x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
23 + -5x = 8 + 0
23 + -5x = 8

Add '-23' to each side of the equation.
23 + -23 + -5x = 8 + -23

Combine like terms: 23 + -23 = 0
0 + -5x = 8 + -23
-5x = 8 + -23

Combine like terms: 8 + -23 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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