(x+2)+(6x+10)+x=180

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Solution for (x+2)+(6x+10)+x=180 equation:


Simplifying
(x + 2) + (6x + 10) + x = 180

Reorder the terms:
(2 + x) + (6x + 10) + x = 180

Remove parenthesis around (2 + x)
2 + x + (6x + 10) + x = 180

Reorder the terms:
2 + x + (10 + 6x) + x = 180

Remove parenthesis around (10 + 6x)
2 + x + 10 + 6x + x = 180

Reorder the terms:
2 + 10 + x + 6x + x = 180

Combine like terms: 2 + 10 = 12
12 + x + 6x + x = 180

Combine like terms: x + 6x = 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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