-2(x-2)=-15-(8-x)

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Solution for -2(x-2)=-15-(8-x) equation:


Simplifying
-2(x + -2) = -15 + -1(8 + -1x)

Reorder the terms:
-2(-2 + x) = -15 + -1(8 + -1x)
(-2 * -2 + x * -2) = -15 + -1(8 + -1x)
(4 + -2x) = -15 + -1(8 + -1x)
4 + -2x = -15 + (8 * -1 + -1x * -1)
4 + -2x = -15 + (-8 + 1x)

Combine like terms: -15 + -8 = -23
4 + -2x = -23 + 1x

Solving
4 + -2x = -23 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + -2x + -1x = -23 + 1x + -1x

Combine like terms: -2x + -1x = -3x
4 + -3x = -23 + 1x + -1x

Combine like terms: 1x + -1x = 0
4 + -3x = -23 + 0
4 + -3x = -23

Add '-4' to each side of the equation.
4 + -4 + -3x = -23 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -23 + -4
-3x = -23 + -4

Combine like terms: -23 + -4 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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