180-x=2(180-(90-x))-60

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Solution for 180-x=2(180-(90-x))-60 equation:


Simplifying
180 + -1x = 2(180 + -1(90 + -1x)) + -60
180 + -1x = 2(180 + (90 * -1 + -1x * -1)) + -60
180 + -1x = 2(180 + (-90 + 1x)) + -60

Combine like terms: 180 + -90 = 90
180 + -1x = 2(90 + 1x) + -60
180 + -1x = (90 * 2 + 1x * 2) + -60
180 + -1x = (180 + 2x) + -60

Reorder the terms:
180 + -1x = 180 + -60 + 2x

Combine like terms: 180 + -60 = 120
180 + -1x = 120 + 2x

Solving
180 + -1x = 120 + 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 = 120 + 2x + -2x

Combine like terms: -1x + -2x = -3x
180 + -3x = 120 + 2x + -2x

Combine like terms: 2x + -2x = 0
180 + -3x = 120 + 0
180 + -3x = 120

Add '-180' to each side of the equation.
180 + -180 + -3x = 120 + -180

Combine like terms: 180 + -180 = 0
0 + -3x = 120 + -180
-3x = 120 + -180

Combine like terms: 120 + -180 = -60
-3x = -60

Divide each side by '-3'.
x = 20

Simplifying
x = 20

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