(3x-5)+(7x-2)+(5x+7)=180

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Solution for (3x-5)+(7x-2)+(5x+7)=180 equation:


Simplifying
(3x + -5) + (7x + -2) + (5x + 7) = 180

Reorder the terms:
(-5 + 3x) + (7x + -2) + (5x + 7) = 180

Remove parenthesis around (-5 + 3x)
-5 + 3x + (7x + -2) + (5x + 7) = 180

Reorder the terms:
-5 + 3x + (-2 + 7x) + (5x + 7) = 180

Remove parenthesis around (-2 + 7x)
-5 + 3x + -2 + 7x + (5x + 7) = 180

Reorder the terms:
-5 + 3x + -2 + 7x + (7 + 5x) = 180

Remove parenthesis around (7 + 5x)
-5 + 3x + -2 + 7x + 7 + 5x = 180

Reorder the terms:
-5 + -2 + 7 + 3x + 7x + 5x = 180

Combine like terms: -5 + -2 = -7
-7 + 7 + 3x + 7x + 5x = 180

Combine like terms: -7 + 7 = 0
0 + 3x + 7x + 5x = 180
3x + 7x + 5x = 180

Combine like terms: 3x + 7x = 10x
10x + 5x = 180

Combine like terms: 10x + 5x = 15x
15x = 180

Solving
15x = 180

Solving for variable 'x'.

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

Divide each side by '15'.
x = 12

Simplifying
x = 12

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