2(90-x)+3(180-x)=580+2x

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Solution for 2(90-x)+3(180-x)=580+2x equation:


Simplifying
2(90 + -1x) + 3(180 + -1x) = 580 + 2x
(90 * 2 + -1x * 2) + 3(180 + -1x) = 580 + 2x
(180 + -2x) + 3(180 + -1x) = 580 + 2x
180 + -2x + (180 * 3 + -1x * 3) = 580 + 2x
180 + -2x + (540 + -3x) = 580 + 2x

Reorder the terms:
180 + 540 + -2x + -3x = 580 + 2x

Combine like terms: 180 + 540 = 720
720 + -2x + -3x = 580 + 2x

Combine like terms: -2x + -3x = -5x
720 + -5x = 580 + 2x

Solving
720 + -5x = 580 + 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.
720 + -5x + -2x = 580 + 2x + -2x

Combine like terms: -5x + -2x = -7x
720 + -7x = 580 + 2x + -2x

Combine like terms: 2x + -2x = 0
720 + -7x = 580 + 0
720 + -7x = 580

Add '-720' to each side of the equation.
720 + -720 + -7x = 580 + -720

Combine like terms: 720 + -720 = 0
0 + -7x = 580 + -720
-7x = 580 + -720

Combine like terms: 580 + -720 = -140
-7x = -140

Divide each side by '-7'.
x = 20

Simplifying
x = 20

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