(180-x)-8*(90-x)=20

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Solution for (180-x)-8*(90-x)=20 equation:


Simplifying
(180 + -1x) + -8(90 + -1x) = 20

Remove parenthesis around (180 + -1x)
180 + -1x + -8(90 + -1x) = 20
180 + -1x + (90 * -8 + -1x * -8) = 20
180 + -1x + (-720 + 8x) = 20

Reorder the terms:
180 + -720 + -1x + 8x = 20

Combine like terms: 180 + -720 = -540
-540 + -1x + 8x = 20

Combine like terms: -1x + 8x = 7x
-540 + 7x = 20

Solving
-540 + 7x = 20

Solving for variable 'x'.

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

Add '540' to each side of the equation.
-540 + 540 + 7x = 20 + 540

Combine like terms: -540 + 540 = 0
0 + 7x = 20 + 540
7x = 20 + 540

Combine like terms: 20 + 540 = 560
7x = 560

Divide each side by '7'.
x = 80

Simplifying
x = 80

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