(5x-37)+(12x+13)=180

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Solution for (5x-37)+(12x+13)=180 equation:


Simplifying
(5x + -37) + (12x + 13) = 180

Reorder the terms:
(-37 + 5x) + (12x + 13) = 180

Remove parenthesis around (-37 + 5x)
-37 + 5x + (12x + 13) = 180

Reorder the terms:
-37 + 5x + (13 + 12x) = 180

Remove parenthesis around (13 + 12x)
-37 + 5x + 13 + 12x = 180

Reorder the terms:
-37 + 13 + 5x + 12x = 180

Combine like terms: -37 + 13 = -24
-24 + 5x + 12x = 180

Combine like terms: 5x + 12x = 17x
-24 + 17x = 180

Solving
-24 + 17x = 180

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 17x = 180 + 24

Combine like terms: -24 + 24 = 0
0 + 17x = 180 + 24
17x = 180 + 24

Combine like terms: 180 + 24 = 204
17x = 204

Divide each side by '17'.
x = 12

Simplifying
x = 12

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