(12x-6)+(5x-52)=180

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Solution for (12x-6)+(5x-52)=180 equation:


Simplifying
(12x + -6) + (5x + -52) = 180

Reorder the terms:
(-6 + 12x) + (5x + -52) = 180

Remove parenthesis around (-6 + 12x)
-6 + 12x + (5x + -52) = 180

Reorder the terms:
-6 + 12x + (-52 + 5x) = 180

Remove parenthesis around (-52 + 5x)
-6 + 12x + -52 + 5x = 180

Reorder the terms:
-6 + -52 + 12x + 5x = 180

Combine like terms: -6 + -52 = -58
-58 + 12x + 5x = 180

Combine like terms: 12x + 5x = 17x
-58 + 17x = 180

Solving
-58 + 17x = 180

Solving for variable 'x'.

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

Add '58' to each side of the equation.
-58 + 58 + 17x = 180 + 58

Combine like terms: -58 + 58 = 0
0 + 17x = 180 + 58
17x = 180 + 58

Combine like terms: 180 + 58 = 238
17x = 238

Divide each side by '17'.
x = 14

Simplifying
x = 14

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