(5x+6)+(17x-2)=180

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Solution for (5x+6)+(17x-2)=180 equation: 


Simplifying
(5x + 6) + (17x + -2) = 180

Reorder the terms:
(6 + 5x) + (17x + -2) = 180

Remove parenthesis around (6 + 5x)
6 + 5x + (17x + -2) = 180

Reorder the terms:
6 + 5x + (-2 + 17x) = 180

Remove parenthesis around (-2 + 17x)
6 + 5x + -2 + 17x = 180

Reorder the terms:
6 + -2 + 5x + 17x = 180

Combine like terms: 6 + -2 = 4
4 + 5x + 17x = 180

Combine like terms: 5x + 17x = 22x
4 + 22x = 180

Solving
4 + 22x = 180

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 22x = 180 + -4

Combine like terms: 4 + -4 = 0
0 + 22x = 180 + -4
22x = 180 + -4

Combine like terms: 180 + -4 = 176
22x = 176

Divide each side by '22'.
x = 8

Simplifying
x = 8

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