3(180-x)=8(90-x)

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Solution for 3(180-x)=8(90-x) equation:


Simplifying
3(180 + -1x) = 8(90 + -1x)
(180 * 3 + -1x * 3) = 8(90 + -1x)
(540 + -3x) = 8(90 + -1x)
540 + -3x = (90 * 8 + -1x * 8)
540 + -3x = (720 + -8x)

Solving
540 + -3x = 720 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
540 + -3x + 8x = 720 + -8x + 8x

Combine like terms: -3x + 8x = 5x
540 + 5x = 720 + -8x + 8x

Combine like terms: -8x + 8x = 0
540 + 5x = 720 + 0
540 + 5x = 720

Add '-540' to each side of the equation.
540 + -540 + 5x = 720 + -540

Combine like terms: 540 + -540 = 0
0 + 5x = 720 + -540
5x = 720 + -540

Combine like terms: 720 + -540 = 180
5x = 180

Divide each side by '5'.
x = 36

Simplifying
x = 36

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