(5x+6)+(8x-15)=180

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Solution for (5x+6)+(8x-15)=180 equation:


Simplifying
(5x + 6) + (8x + -15) = 180

Reorder the terms:
(6 + 5x) + (8x + -15) = 180

Remove parenthesis around (6 + 5x)
6 + 5x + (8x + -15) = 180

Reorder the terms:
6 + 5x + (-15 + 8x) = 180

Remove parenthesis around (-15 + 8x)
6 + 5x + -15 + 8x = 180

Reorder the terms:
6 + -15 + 5x + 8x = 180

Combine like terms: 6 + -15 = -9
-9 + 5x + 8x = 180

Combine like terms: 5x + 8x = 13x
-9 + 13x = 180

Solving
-9 + 13x = 180

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 13x = 180 + 9

Combine like terms: -9 + 9 = 0
0 + 13x = 180 + 9
13x = 180 + 9

Combine like terms: 180 + 9 = 189
13x = 189

Divide each side by '13'.
x = 14.53846154

Simplifying
x = 14.53846154

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