180-x=3(90-x)+40

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Solution for 180-x=3(90-x)+40 equation:


Simplifying
180 + -1x = 3(90 + -1x) + 40
180 + -1x = (90 * 3 + -1x * 3) + 40
180 + -1x = (270 + -3x) + 40

Reorder the terms:
180 + -1x = 270 + 40 + -3x

Combine like terms: 270 + 40 = 310
180 + -1x = 310 + -3x

Solving
180 + -1x = 310 + -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 = 310 + -3x + 3x

Combine like terms: -1x + 3x = 2x
180 + 2x = 310 + -3x + 3x

Combine like terms: -3x + 3x = 0
180 + 2x = 310 + 0
180 + 2x = 310

Add '-180' to each side of the equation.
180 + -180 + 2x = 310 + -180

Combine like terms: 180 + -180 = 0
0 + 2x = 310 + -180
2x = 310 + -180

Combine like terms: 310 + -180 = 130
2x = 130

Divide each side by '2'.
x = 65

Simplifying
x = 65

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