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

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


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

Reorder the terms:
180 + -1x = 2(-90 + x + 1x) + -15

Combine like terms: x + 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 = -195
180 + -1x = -195 + 4x

Solving
180 + -1x = -195 + 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 = -195 + 4x + -4x

Combine like terms: -1x + -4x = -5x
180 + -5x = -195 + 4x + -4x

Combine like terms: 4x + -4x = 0
180 + -5x = -195 + 0
180 + -5x = -195

Add '-180' to each side of the equation.
180 + -180 + -5x = -195 + -180

Combine like terms: 180 + -180 = 0
0 + -5x = -195 + -180
-5x = -195 + -180

Combine like terms: -195 + -180 = -375
-5x = -375

Divide each side by '-5'.
x = 75

Simplifying
x = 75

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