180-x=2((90-x)-x)-15

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Solution for 180-x=2((90-x)-x)-15 equation:


Simplifying
180 + -1x = 2((90 + -1x) + -1x) + -15

Remove parenthesis around (90 + -1x)
180 + -1x = 2(90 + -1x + -1x) + -15

Combine like terms: -1x + -1x = -2x
180 + -1x = 2(90 + -2x) + -15
180 + -1x = (90 * 2 + -2x * 2) + -15
180 + -1x = (180 + -4x) + -15

Reorder the terms:
180 + -1x = 180 + -15 + -4x

Combine like terms: 180 + -15 = 165
180 + -1x = 165 + -4x

Solving
180 + -1x = 165 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
180 + -1x + 4x = 165 + -4x + 4x

Combine like terms: -1x + 4x = 3x
180 + 3x = 165 + -4x + 4x

Combine like terms: -4x + 4x = 0
180 + 3x = 165 + 0
180 + 3x = 165

Add '-180' to each side of the equation.
180 + -180 + 3x = 165 + -180

Combine like terms: 180 + -180 = 0
0 + 3x = 165 + -180
3x = 165 + -180

Combine like terms: 165 + -180 = -15
3x = -15

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

Simplifying
x = -5

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