(.5)(180-x)-12=90-x

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Solution for (.5)(180-x)-12=90-x equation:


Simplifying
(0.5)(180 + -1x) + -12 = 90 + -1x
(180 * 0.5 + -1x * 0.5) + -12 = 90 + -1x
(90 + -0.5x) + -12 = 90 + -1x

Reorder the terms:
90 + -12 + -0.5x = 90 + -1x

Combine like terms: 90 + -12 = 78
78 + -0.5x = 90 + -1x

Solving
78 + -0.5x = 90 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
78 + -0.5x + x = 90 + -1x + x

Combine like terms: -0.5x + x = 0.5x
78 + 0.5x = 90 + -1x + x

Combine like terms: -1x + x = 0
78 + 0.5x = 90 + 0
78 + 0.5x = 90

Add '-78' to each side of the equation.
78 + -78 + 0.5x = 90 + -78

Combine like terms: 78 + -78 = 0
0 + 0.5x = 90 + -78
0.5x = 90 + -78

Combine like terms: 90 + -78 = 12
0.5x = 12

Divide each side by '0.5'.
x = 24

Simplifying
x = 24

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