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

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


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

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

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

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

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

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

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

Combine like terms: 2x + (5x) = 7x
12 + 7x + x = 180

Combine like terms: 7x + x = 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 = 168
8x = 168

Divide each side by '8'.
x = 21

Simplifying
x = 21

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