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

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


Simplifying
2(90 + -1x) = 3(90 + -2x)
(90 * 2 + -1x * 2) = 3(90 + -2x)
(180 + -2x) = 3(90 + -2x)
180 + -2x = (90 * 3 + -2x * 3)
180 + -2x = (270 + -6x)

Solving
180 + -2x = 270 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
180 + -2x + 6x = 270 + -6x + 6x

Combine like terms: -2x + 6x = 4x
180 + 4x = 270 + -6x + 6x

Combine like terms: -6x + 6x = 0
180 + 4x = 270 + 0
180 + 4x = 270

Add '-180' to each side of the equation.
180 + -180 + 4x = 270 + -180

Combine like terms: 180 + -180 = 0
0 + 4x = 270 + -180
4x = 270 + -180

Combine like terms: 270 + -180 = 90
4x = 90

Divide each side by '4'.
x = 22.5

Simplifying
x = 22.5

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