180-x=5(90-x)-30

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Solution for 180-x=5(90-x)-30 equation:


Simplifying
180 + -1x = 5(90 + -1x) + -30
180 + -1x = (90 * 5 + -1x * 5) + -30
180 + -1x = (450 + -5x) + -30

Reorder the terms:
180 + -1x = 450 + -30 + -5x

Combine like terms: 450 + -30 = 420
180 + -1x = 420 + -5x

Solving
180 + -1x = 420 + -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 = 420 + -5x + 5x

Combine like terms: -1x + 5x = 4x
180 + 4x = 420 + -5x + 5x

Combine like terms: -5x + 5x = 0
180 + 4x = 420 + 0
180 + 4x = 420

Add '-180' to each side of the equation.
180 + -180 + 4x = 420 + -180

Combine like terms: 180 + -180 = 0
0 + 4x = 420 + -180
4x = 420 + -180

Combine like terms: 420 + -180 = 240
4x = 240

Divide each side by '4'.
x = 60

Simplifying
x = 60

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