(180-x)-6(90-x)=60

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Solution for (180-x)-6(90-x)=60 equation:


Simplifying
(180 + -1x) + -6(90 + -1x) = 60

Remove parenthesis around (180 + -1x)
180 + -1x + -6(90 + -1x) = 60
180 + -1x + (90 * -6 + -1x * -6) = 60
180 + -1x + (-540 + 6x) = 60

Reorder the terms:
180 + -540 + -1x + 6x = 60

Combine like terms: 180 + -540 = -360
-360 + -1x + 6x = 60

Combine like terms: -1x + 6x = 5x
-360 + 5x = 60

Solving
-360 + 5x = 60

Solving for variable 'x'.

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

Add '360' to each side of the equation.
-360 + 360 + 5x = 60 + 360

Combine like terms: -360 + 360 = 0
0 + 5x = 60 + 360
5x = 60 + 360

Combine like terms: 60 + 360 = 420
5x = 420

Divide each side by '5'.
x = 84

Simplifying
x = 84

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