(180-x)-7*(90-x)=30

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Solution for (180-x)-7*(90-x)=30 equation:


Simplifying
(180 + -1x) + -7(90 + -1x) = 30

Remove parenthesis around (180 + -1x)
180 + -1x + -7(90 + -1x) = 30
180 + -1x + (90 * -7 + -1x * -7) = 30
180 + -1x + (-630 + 7x) = 30

Reorder the terms:
180 + -630 + -1x + 7x = 30

Combine like terms: 180 + -630 = -450
-450 + -1x + 7x = 30

Combine like terms: -1x + 7x = 6x
-450 + 6x = 30

Solving
-450 + 6x = 30

Solving for variable 'x'.

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

Add '450' to each side of the equation.
-450 + 450 + 6x = 30 + 450

Combine like terms: -450 + 450 = 0
0 + 6x = 30 + 450
6x = 30 + 450

Combine like terms: 30 + 450 = 480
6x = 480

Divide each side by '6'.
x = 80

Simplifying
x = 80

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