(5x+20)+(2x-9)+82=180

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Solution for (5x+20)+(2x-9)+82=180 equation:


Simplifying
(5x + 20) + (2x + -9) + 82 = 180

Reorder the terms:
(20 + 5x) + (2x + -9) + 82 = 180

Remove parenthesis around (20 + 5x)
20 + 5x + (2x + -9) + 82 = 180

Reorder the terms:
20 + 5x + (-9 + 2x) + 82 = 180

Remove parenthesis around (-9 + 2x)
20 + 5x + -9 + 2x + 82 = 180

Reorder the terms:
20 + -9 + 82 + 5x + 2x = 180

Combine like terms: 20 + -9 = 11
11 + 82 + 5x + 2x = 180

Combine like terms: 11 + 82 = 93
93 + 5x + 2x = 180

Combine like terms: 5x + 2x = 7x
93 + 7x = 180

Solving
93 + 7x = 180

Solving for variable 'x'.

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

Add '-93' to each side of the equation.
93 + -93 + 7x = 180 + -93

Combine like terms: 93 + -93 = 0
0 + 7x = 180 + -93
7x = 180 + -93

Combine like terms: 180 + -93 = 87
7x = 87

Divide each side by '7'.
x = 12.42857143

Simplifying
x = 12.42857143

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