180-x=3(90-x)-10

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Solution for 180-x=3(90-x)-10 equation:


Simplifying
180 + -1x = 3(90 + -1x) + -10
180 + -1x = (90 * 3 + -1x * 3) + -10
180 + -1x = (270 + -3x) + -10

Reorder the terms:
180 + -1x = 270 + -10 + -3x

Combine like terms: 270 + -10 = 260
180 + -1x = 260 + -3x

Solving
180 + -1x = 260 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
180 + -1x + 3x = 260 + -3x + 3x

Combine like terms: -1x + 3x = 2x
180 + 2x = 260 + -3x + 3x

Combine like terms: -3x + 3x = 0
180 + 2x = 260 + 0
180 + 2x = 260

Add '-180' to each side of the equation.
180 + -180 + 2x = 260 + -180

Combine like terms: 180 + -180 = 0
0 + 2x = 260 + -180
2x = 260 + -180

Combine like terms: 260 + -180 = 80
2x = 80

Divide each side by '2'.
x = 40

Simplifying
x = 40

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