(5x-2)+(2x+8)+90=180

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Solution for (5x-2)+(2x+8)+90=180 equation:


Simplifying
(5x + -2) + (2x + 8) + 90 = 180

Reorder the terms:
(-2 + 5x) + (2x + 8) + 90 = 180

Remove parenthesis around (-2 + 5x)
-2 + 5x + (2x + 8) + 90 = 180

Reorder the terms:
-2 + 5x + (8 + 2x) + 90 = 180

Remove parenthesis around (8 + 2x)
-2 + 5x + 8 + 2x + 90 = 180

Reorder the terms:
-2 + 8 + 90 + 5x + 2x = 180

Combine like terms: -2 + 8 = 6
6 + 90 + 5x + 2x = 180

Combine like terms: 6 + 90 = 96
96 + 5x + 2x = 180

Combine like terms: 5x + 2x = 7x
96 + 7x = 180

Solving
96 + 7x = 180

Solving for variable 'x'.

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

Add '-96' to each side of the equation.
96 + -96 + 7x = 180 + -96

Combine like terms: 96 + -96 = 0
0 + 7x = 180 + -96
7x = 180 + -96

Combine like terms: 180 + -96 = 84
7x = 84

Divide each side by '7'.
x = 12

Simplifying
x = 12

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