180-x=7(90-x)

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Solution for 180-x=7(90-x) equation:


Simplifying
180 + -1x = 7(90 + -1x)
180 + -1x = (90 * 7 + -1x * 7)
180 + -1x = (630 + -7x)

Solving
180 + -1x = 630 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
180 + -1x + 7x = 630 + -7x + 7x

Combine like terms: -1x + 7x = 6x
180 + 6x = 630 + -7x + 7x

Combine like terms: -7x + 7x = 0
180 + 6x = 630 + 0
180 + 6x = 630

Add '-180' to each side of the equation.
180 + -180 + 6x = 630 + -180

Combine like terms: 180 + -180 = 0
0 + 6x = 630 + -180
6x = 630 + -180

Combine like terms: 630 + -180 = 450
6x = 450

Divide each side by '6'.
x = 75

Simplifying
x = 75

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