180-x=19(90-x)

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Solution for 180-x=19(90-x) equation:


Simplifying
180 + -1x = 19(90 + -1x)
180 + -1x = (90 * 19 + -1x * 19)
180 + -1x = (1710 + -19x)

Solving
180 + -1x = 1710 + -19x

Solving for variable 'x'.

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

Add '19x' to each side of the equation.
180 + -1x + 19x = 1710 + -19x + 19x

Combine like terms: -1x + 19x = 18x
180 + 18x = 1710 + -19x + 19x

Combine like terms: -19x + 19x = 0
180 + 18x = 1710 + 0
180 + 18x = 1710

Add '-180' to each side of the equation.
180 + -180 + 18x = 1710 + -180

Combine like terms: 180 + -180 = 0
0 + 18x = 1710 + -180
18x = 1710 + -180

Combine like terms: 1710 + -180 = 1530
18x = 1530

Divide each side by '18'.
x = 85

Simplifying
x = 85

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