(x-12)+(2x-5)+26=180

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Solution for (x-12)+(2x-5)+26=180 equation:


Simplifying
(x + -12) + (2x + -5) + 26 = 180

Reorder the terms:
(-12 + x) + (2x + -5) + 26 = 180

Remove parenthesis around (-12 + x)
-12 + x + (2x + -5) + 26 = 180

Reorder the terms:
-12 + x + (-5 + 2x) + 26 = 180

Remove parenthesis around (-5 + 2x)
-12 + x + -5 + 2x + 26 = 180

Reorder the terms:
-12 + -5 + 26 + x + 2x = 180

Combine like terms: -12 + -5 = -17
-17 + 26 + x + 2x = 180

Combine like terms: -17 + 26 = 9
9 + x + 2x = 180

Combine like terms: x + 2x = 3x
9 + 3x = 180

Solving
9 + 3x = 180

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 3x = 180 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = 180 + -9
3x = 180 + -9

Combine like terms: 180 + -9 = 171
3x = 171

Divide each side by '3'.
x = 57

Simplifying
x = 57

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