(5x-8)+(12x+2)=180

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Solution for (5x-8)+(12x+2)=180 equation:


Simplifying
(5x + -8) + (12x + 2) = 180

Reorder the terms:
(-8 + 5x) + (12x + 2) = 180

Remove parenthesis around (-8 + 5x)
-8 + 5x + (12x + 2) = 180

Reorder the terms:
-8 + 5x + (2 + 12x) = 180

Remove parenthesis around (2 + 12x)
-8 + 5x + 2 + 12x = 180

Reorder the terms:
-8 + 2 + 5x + 12x = 180

Combine like terms: -8 + 2 = -6
-6 + 5x + 12x = 180

Combine like terms: 5x + 12x = 17x
-6 + 17x = 180

Solving
-6 + 17x = 180

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 17x = 180 + 6

Combine like terms: -6 + 6 = 0
0 + 17x = 180 + 6
17x = 180 + 6

Combine like terms: 180 + 6 = 186
17x = 186

Divide each side by '17'.
x = 10.94117647

Simplifying
x = 10.94117647

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