(5x-7)+(7x+8)=180

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Solution for (5x-7)+(7x+8)=180 equation:


Simplifying
(5x + -7) + (7x + 8) = 180

Reorder the terms:
(-7 + 5x) + (7x + 8) = 180

Remove parenthesis around (-7 + 5x)
-7 + 5x + (7x + 8) = 180

Reorder the terms:
-7 + 5x + (8 + 7x) = 180

Remove parenthesis around (8 + 7x)
-7 + 5x + 8 + 7x = 180

Reorder the terms:
-7 + 8 + 5x + 7x = 180

Combine like terms: -7 + 8 = 1
1 + 5x + 7x = 180

Combine like terms: 5x + 7x = 12x
1 + 12x = 180

Solving
1 + 12x = 180

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 12x = 180 + -1

Combine like terms: 1 + -1 = 0
0 + 12x = 180 + -1
12x = 180 + -1

Combine like terms: 180 + -1 = 179
12x = 179

Divide each side by '12'.
x = 14.91666667

Simplifying
x = 14.91666667

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