(5x+15)+(8x-5)=180

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Solution for (5x+15)+(8x-5)=180 equation:


Simplifying
(5x + 15) + (8x + -5) = 180

Reorder the terms:
(15 + 5x) + (8x + -5) = 180

Remove parenthesis around (15 + 5x)
15 + 5x + (8x + -5) = 180

Reorder the terms:
15 + 5x + (-5 + 8x) = 180

Remove parenthesis around (-5 + 8x)
15 + 5x + -5 + 8x = 180

Reorder the terms:
15 + -5 + 5x + 8x = 180

Combine like terms: 15 + -5 = 10
10 + 5x + 8x = 180

Combine like terms: 5x + 8x = 13x
10 + 13x = 180

Solving
10 + 13x = 180

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 13x = 180 + -10

Combine like terms: 10 + -10 = 0
0 + 13x = 180 + -10
13x = 180 + -10

Combine like terms: 180 + -10 = 170
13x = 170

Divide each side by '13'.
x = 13.07692308

Simplifying
x = 13.07692308

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