180-x=90(90-x)

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


Simplifying
180 + -1x = 90(90 + -1x)
180 + -1x = (90 * 90 + -1x * 90)
180 + -1x = (8100 + -90x)

Solving
180 + -1x = 8100 + -90x

Solving for variable 'x'.

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

Add '90x' to each side of the equation.
180 + -1x + 90x = 8100 + -90x + 90x

Combine like terms: -1x + 90x = 89x
180 + 89x = 8100 + -90x + 90x

Combine like terms: -90x + 90x = 0
180 + 89x = 8100 + 0
180 + 89x = 8100

Add '-180' to each side of the equation.
180 + -180 + 89x = 8100 + -180

Combine like terms: 180 + -180 = 0
0 + 89x = 8100 + -180
89x = 8100 + -180

Combine like terms: 8100 + -180 = 7920
89x = 7920

Divide each side by '89'.
x = 88.98876404

Simplifying
x = 88.98876404

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