180=(5x+13)+(8x-6)

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Solution for 180=(5x+13)+(8x-6) equation:


Simplifying
180 = (5x + 13) + (8x + -6)

Reorder the terms:
180 = (13 + 5x) + (8x + -6)

Remove parenthesis around (13 + 5x)
180 = 13 + 5x + (8x + -6)

Reorder the terms:
180 = 13 + 5x + (-6 + 8x)

Remove parenthesis around (-6 + 8x)
180 = 13 + 5x + -6 + 8x

Reorder the terms:
180 = 13 + -6 + 5x + 8x

Combine like terms: 13 + -6 = 7
180 = 7 + 5x + 8x

Combine like terms: 5x + 8x = 13x
180 = 7 + 13x

Solving
180 = 7 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
180 + -13x = 7 + 13x + -13x

Combine like terms: 13x + -13x = 0
180 + -13x = 7 + 0
180 + -13x = 7

Add '-180' to each side of the equation.
180 + -180 + -13x = 7 + -180

Combine like terms: 180 + -180 = 0
0 + -13x = 7 + -180
-13x = 7 + -180

Combine like terms: 7 + -180 = -173
-13x = -173

Divide each side by '-13'.
x = 13.30769231

Simplifying
x = 13.30769231

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