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

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


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

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

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

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

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

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

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

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

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

Solving
-12 + 8x = 180

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 8x = 180 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 180 + 12
8x = 180 + 12

Combine like terms: 180 + 12 = 192
8x = 192

Divide each side by '8'.
x = 24

Simplifying
x = 24

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