2x+(6x-2)+(3x+6)=180

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Solution for 2x+(6x-2)+(3x+6)=180 equation:


Simplifying
2x + (6x + -2) + (3x + 6) = 180

Reorder the terms:
2x + (-2 + 6x) + (3x + 6) = 180

Remove parenthesis around (-2 + 6x)
2x + -2 + 6x + (3x + 6) = 180

Reorder the terms:
2x + -2 + 6x + (6 + 3x) = 180

Remove parenthesis around (6 + 3x)
2x + -2 + 6x + 6 + 3x = 180

Reorder the terms:
-2 + 6 + 2x + 6x + 3x = 180

Combine like terms: -2 + 6 = 4
4 + 2x + 6x + 3x = 180

Combine like terms: 2x + 6x = 8x
4 + 8x + 3x = 180

Combine like terms: 8x + 3x = 11x
4 + 11x = 180

Solving
4 + 11x = 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 + 11x = 180 + -4

Combine like terms: 4 + -4 = 0
0 + 11x = 180 + -4
11x = 180 + -4

Combine like terms: 180 + -4 = 176
11x = 176

Divide each side by '11'.
x = 16

Simplifying
x = 16

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