180-x=2[180-(90-x)]-36

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Solution for 180-x=2[180-(90-x)]-36 equation:


Simplifying
180 + -1x = 2[180 + -1(90 + -1x)] + -36
180 + -1x = 2[180 + (90 * -1 + -1x * -1)] + -36
180 + -1x = 2[180 + (-90 + 1x)] + -36

Combine like terms: 180 + -90 = 90
180 + -1x = 2[90 + 1x] + -36
180 + -1x = [90 * 2 + 1x * 2] + -36
180 + -1x = [180 + 2x] + -36

Reorder the terms:
180 + -1x = 180 + -36 + 2x

Combine like terms: 180 + -36 = 144
180 + -1x = 144 + 2x

Solving
180 + -1x = 144 + 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.
180 + -1x + -2x = 144 + 2x + -2x

Combine like terms: -1x + -2x = -3x
180 + -3x = 144 + 2x + -2x

Combine like terms: 2x + -2x = 0
180 + -3x = 144 + 0
180 + -3x = 144

Add '-180' to each side of the equation.
180 + -180 + -3x = 144 + -180

Combine like terms: 180 + -180 = 0
0 + -3x = 144 + -180
-3x = 144 + -180

Combine like terms: 144 + -180 = -36
-3x = -36

Divide each side by '-3'.
x = 12

Simplifying
x = 12

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