(5x+5)+(7x-1)+(6x+7)=180

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Solution for (5x+5)+(7x-1)+(6x+7)=180 equation:


Simplifying
(5x + 5) + (7x + -1) + (6x + 7) = 180

Reorder the terms:
(5 + 5x) + (7x + -1) + (6x + 7) = 180

Remove parenthesis around (5 + 5x)
5 + 5x + (7x + -1) + (6x + 7) = 180

Reorder the terms:
5 + 5x + (-1 + 7x) + (6x + 7) = 180

Remove parenthesis around (-1 + 7x)
5 + 5x + -1 + 7x + (6x + 7) = 180

Reorder the terms:
5 + 5x + -1 + 7x + (7 + 6x) = 180

Remove parenthesis around (7 + 6x)
5 + 5x + -1 + 7x + 7 + 6x = 180

Reorder the terms:
5 + -1 + 7 + 5x + 7x + 6x = 180

Combine like terms: 5 + -1 = 4
4 + 7 + 5x + 7x + 6x = 180

Combine like terms: 4 + 7 = 11
11 + 5x + 7x + 6x = 180

Combine like terms: 5x + 7x = 12x
11 + 12x + 6x = 180

Combine like terms: 12x + 6x = 18x
11 + 18x = 180

Solving
11 + 18x = 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 + 18x = 180 + -11

Combine like terms: 11 + -11 = 0
0 + 18x = 180 + -11
18x = 180 + -11

Combine like terms: 180 + -11 = 169
18x = 169

Divide each side by '18'.
x = 9.388888889

Simplifying
x = 9.388888889

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