180-x=70+5(90-x)

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Solution for 180-x=70+5(90-x) equation:


Simplifying
180 + -1x = 70 + 5(90 + -1x)
180 + -1x = 70 + (90 * 5 + -1x * 5)
180 + -1x = 70 + (450 + -5x)

Combine like terms: 70 + 450 = 520
180 + -1x = 520 + -5x

Solving
180 + -1x = 520 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
180 + -1x + 5x = 520 + -5x + 5x

Combine like terms: -1x + 5x = 4x
180 + 4x = 520 + -5x + 5x

Combine like terms: -5x + 5x = 0
180 + 4x = 520 + 0
180 + 4x = 520

Add '-180' to each side of the equation.
180 + -180 + 4x = 520 + -180

Combine like terms: 180 + -180 = 0
0 + 4x = 520 + -180
4x = 520 + -180

Combine like terms: 520 + -180 = 340
4x = 340

Divide each side by '4'.
x = 85

Simplifying
x = 85

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