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

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


Simplifying
180 + -1x = 20 + 3(90 + -1x)
180 + -1x = 20 + (90 * 3 + -1x * 3)
180 + -1x = 20 + (270 + -3x)

Combine like terms: 20 + 270 = 290
180 + -1x = 290 + -3x

Solving
180 + -1x = 290 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
180 + -1x + 3x = 290 + -3x + 3x

Combine like terms: -1x + 3x = 2x
180 + 2x = 290 + -3x + 3x

Combine like terms: -3x + 3x = 0
180 + 2x = 290 + 0
180 + 2x = 290

Add '-180' to each side of the equation.
180 + -180 + 2x = 290 + -180

Combine like terms: 180 + -180 = 0
0 + 2x = 290 + -180
2x = 290 + -180

Combine like terms: 290 + -180 = 110
2x = 110

Divide each side by '2'.
x = 55

Simplifying
x = 55

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