3*(180-x)=2*(90-x)

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Solution for 3*(180-x)=2*(90-x) equation:


Simplifying
3(180 + -1x) = 2(90 + -1x)
(180 * 3 + -1x * 3) = 2(90 + -1x)
(540 + -3x) = 2(90 + -1x)
540 + -3x = (90 * 2 + -1x * 2)
540 + -3x = (180 + -2x)

Solving
540 + -3x = 180 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
540 + -3x + 2x = 180 + -2x + 2x

Combine like terms: -3x + 2x = -1x
540 + -1x = 180 + -2x + 2x

Combine like terms: -2x + 2x = 0
540 + -1x = 180 + 0
540 + -1x = 180

Add '-540' to each side of the equation.
540 + -540 + -1x = 180 + -540

Combine like terms: 540 + -540 = 0
0 + -1x = 180 + -540
-1x = 180 + -540

Combine like terms: 180 + -540 = -360
-1x = -360

Divide each side by '-1'.
x = 360

Simplifying
x = 360

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