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

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


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

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

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

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

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

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

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

Combine like terms: 6x + 7x = 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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