(8x+12)+(55-3x)+(10x-23)=180

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Solution for (8x+12)+(55-3x)+(10x-23)=180 equation: 


Simplifying
(8x + 12) + (55 + -3x) + (10x + -23) = 180

Reorder the terms:
(12 + 8x) + (55 + -3x) + (10x + -23) = 180

Remove parenthesis around (12 + 8x)
12 + 8x + (55 + -3x) + (10x + -23) = 180

Remove parenthesis around (55 + -3x)
12 + 8x + 55 + -3x + (10x + -23) = 180

Reorder the terms:
12 + 8x + 55 + -3x + (-23 + 10x) = 180

Remove parenthesis around (-23 + 10x)
12 + 8x + 55 + -3x + -23 + 10x = 180

Reorder the terms:
12 + 55 + -23 + 8x + -3x + 10x = 180

Combine like terms: 12 + 55 = 67
67 + -23 + 8x + -3x + 10x = 180

Combine like terms: 67 + -23 = 44
44 + 8x + -3x + 10x = 180

Combine like terms: 8x + -3x = 5x
44 + 5x + 10x = 180

Combine like terms: 5x + 10x = 15x
44 + 15x = 180

Solving
44 + 15x = 180

Solving for variable 'x'.

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

Add '-44' to each side of the equation.
44 + -44 + 15x = 180 + -44

Combine like terms: 44 + -44 = 0
0 + 15x = 180 + -44
15x = 180 + -44

Combine like terms: 180 + -44 = 136
15x = 136

Divide each side by '15'.
x = 9.066666667

Simplifying
x = 9.066666667

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