(5x-8)+(6x-12)+112=180

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Solution for (5x-8)+(6x-12)+112=180 equation:


Simplifying
(5x + -8) + (6x + -12) + 112 = 180

Reorder the terms:
(-8 + 5x) + (6x + -12) + 112 = 180

Remove parenthesis around (-8 + 5x)
-8 + 5x + (6x + -12) + 112 = 180

Reorder the terms:
-8 + 5x + (-12 + 6x) + 112 = 180

Remove parenthesis around (-12 + 6x)
-8 + 5x + -12 + 6x + 112 = 180

Reorder the terms:
-8 + -12 + 112 + 5x + 6x = 180

Combine like terms: -8 + -12 = -20
-20 + 112 + 5x + 6x = 180

Combine like terms: -20 + 112 = 92
92 + 5x + 6x = 180

Combine like terms: 5x + 6x = 11x
92 + 11x = 180

Solving
92 + 11x = 180

Solving for variable 'x'.

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

Add '-92' to each side of the equation.
92 + -92 + 11x = 180 + -92

Combine like terms: 92 + -92 = 0
0 + 11x = 180 + -92
11x = 180 + -92

Combine like terms: 180 + -92 = 88
11x = 88

Divide each side by '11'.
x = 8

Simplifying
x = 8

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