(7x-2)+(6x+13)=180

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Solution for (7x-2)+(6x+13)=180 equation:


Simplifying
(7x + -2) + (6x + 13) = 180

Reorder the terms:
(-2 + 7x) + (6x + 13) = 180

Remove parenthesis around (-2 + 7x)
-2 + 7x + (6x + 13) = 180

Reorder the terms:
-2 + 7x + (13 + 6x) = 180

Remove parenthesis around (13 + 6x)
-2 + 7x + 13 + 6x = 180

Reorder the terms:
-2 + 13 + 7x + 6x = 180

Combine like terms: -2 + 13 = 11
11 + 7x + 6x = 180

Combine like terms: 7x + 6x = 13x
11 + 13x = 180

Solving
11 + 13x = 180

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 13x = 180 + -11

Combine like terms: 11 + -11 = 0
0 + 13x = 180 + -11
13x = 180 + -11

Combine like terms: 180 + -11 = 169
13x = 169

Divide each side by '13'.
x = 13

Simplifying
x = 13

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