(5x+2)+(2x-9)+82=180

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Solution for (5x+2)+(2x-9)+82=180 equation:


Simplifying
(5x + 2) + (2x + -9) + 82 = 180

Reorder the terms:
(2 + 5x) + (2x + -9) + 82 = 180

Remove parenthesis around (2 + 5x)
2 + 5x + (2x + -9) + 82 = 180

Reorder the terms:
2 + 5x + (-9 + 2x) + 82 = 180

Remove parenthesis around (-9 + 2x)
2 + 5x + -9 + 2x + 82 = 180

Reorder the terms:
2 + -9 + 82 + 5x + 2x = 180

Combine like terms: 2 + -9 = -7
-7 + 82 + 5x + 2x = 180

Combine like terms: -7 + 82 = 75
75 + 5x + 2x = 180

Combine like terms: 5x + 2x = 7x
75 + 7x = 180

Solving
75 + 7x = 180

Solving for variable 'x'.

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

Add '-75' to each side of the equation.
75 + -75 + 7x = 180 + -75

Combine like terms: 75 + -75 = 0
0 + 7x = 180 + -75
7x = 180 + -75

Combine like terms: 180 + -75 = 105
7x = 105

Divide each side by '7'.
x = 15

Simplifying
x = 15

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