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

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


Simplifying
3(90 + -1x) = 2(180 + -1x)
(90 * 3 + -1x * 3) = 2(180 + -1x)
(270 + -3x) = 2(180 + -1x)
270 + -3x = (180 * 2 + -1x * 2)
270 + -3x = (360 + -2x)

Solving
270 + -3x = 360 + -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.
270 + -3x + 2x = 360 + -2x + 2x

Combine like terms: -3x + 2x = -1x
270 + -1x = 360 + -2x + 2x

Combine like terms: -2x + 2x = 0
270 + -1x = 360 + 0
270 + -1x = 360

Add '-270' to each side of the equation.
270 + -270 + -1x = 360 + -270

Combine like terms: 270 + -270 = 0
0 + -1x = 360 + -270
-1x = 360 + -270

Combine like terms: 360 + -270 = 90
-1x = 90

Divide each side by '-1'.
x = -90

Simplifying
x = -90

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