(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

Remove parenthesis around (180 + -1x)
180 + -1x + -3(90 + -1x) = 40
180 + -1x + (90 * -3 + -1x * -3) = 40
180 + -1x + (-270 + 3x) = 40

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

Combine like terms: 180 + -270 = -90
-90 + -1x + 3x = 40

Combine like terms: -1x + 3x = 2x
-90 + 2x = 40

Solving
-90 + 2x = 40

Solving for variable 'x'.

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

Add '90' to each side of the equation.
-90 + 90 + 2x = 40 + 90

Combine like terms: -90 + 90 = 0
0 + 2x = 40 + 90
2x = 40 + 90

Combine like terms: 40 + 90 = 130
2x = 130

Divide each side by '2'.
x = 65

Simplifying
x = 65

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