(5x-5)+(6x-2)+(7x+7)=180

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Solution for (5x-5)+(6x-2)+(7x+7)=180 equation:


Simplifying
(5x + -5) + (6x + -2) + (7x + 7) = 180

Reorder the terms:
(-5 + 5x) + (6x + -2) + (7x + 7) = 180

Remove parenthesis around (-5 + 5x)
-5 + 5x + (6x + -2) + (7x + 7) = 180

Reorder the terms:
-5 + 5x + (-2 + 6x) + (7x + 7) = 180

Remove parenthesis around (-2 + 6x)
-5 + 5x + -2 + 6x + (7x + 7) = 180

Reorder the terms:
-5 + 5x + -2 + 6x + (7 + 7x) = 180

Remove parenthesis around (7 + 7x)
-5 + 5x + -2 + 6x + 7 + 7x = 180

Reorder the terms:
-5 + -2 + 7 + 5x + 6x + 7x = 180

Combine like terms: -5 + -2 = -7
-7 + 7 + 5x + 6x + 7x = 180

Combine like terms: -7 + 7 = 0
0 + 5x + 6x + 7x = 180
5x + 6x + 7x = 180

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

Combine like terms: 11x + 7x = 18x
18x = 180

Solving
18x = 180

Solving for variable 'x'.

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

Divide each side by '18'.
x = 10

Simplifying
x = 10

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