180-(90-3x)=x-20

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Solution for 180-(90-3x)=x-20 equation:


Simplifying
180 + -1(90 + -3x) = x + -20
180 + (90 * -1 + -3x * -1) = x + -20
180 + (-90 + 3x) = x + -20

Combine like terms: 180 + -90 = 90
90 + 3x = x + -20

Reorder the terms:
90 + 3x = -20 + x

Solving
90 + 3x = -20 + x

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.
90 + 3x + -1x = -20 + x + -1x

Combine like terms: 3x + -1x = 2x
90 + 2x = -20 + x + -1x

Combine like terms: x + -1x = 0
90 + 2x = -20 + 0
90 + 2x = -20

Add '-90' to each side of the equation.
90 + -90 + 2x = -20 + -90

Combine like terms: 90 + -90 = 0
0 + 2x = -20 + -90
2x = -20 + -90

Combine like terms: -20 + -90 = -110
2x = -110

Divide each side by '2'.
x = -55

Simplifying
x = -55

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