(2x-12)+(6x-10)+(x+13)=180

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Solution for (2x-12)+(6x-10)+(x+13)=180 equation:


Simplifying
(2x + -12) + (6x + -10) + (x + 13) = 180

Reorder the terms:
(-12 + 2x) + (6x + -10) + (x + 13) = 180

Remove parenthesis around (-12 + 2x)
-12 + 2x + (6x + -10) + (x + 13) = 180

Reorder the terms:
-12 + 2x + (-10 + 6x) + (x + 13) = 180

Remove parenthesis around (-10 + 6x)
-12 + 2x + -10 + 6x + (x + 13) = 180

Reorder the terms:
-12 + 2x + -10 + 6x + (13 + x) = 180

Remove parenthesis around (13 + x)
-12 + 2x + -10 + 6x + 13 + x = 180

Reorder the terms:
-12 + -10 + 13 + 2x + 6x + x = 180

Combine like terms: -12 + -10 = -22
-22 + 13 + 2x + 6x + x = 180

Combine like terms: -22 + 13 = -9
-9 + 2x + 6x + x = 180

Combine like terms: 2x + 6x = 8x
-9 + 8x + x = 180

Combine like terms: 8x + x = 9x
-9 + 9x = 180

Solving
-9 + 9x = 180

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 9x = 180 + 9

Combine like terms: -9 + 9 = 0
0 + 9x = 180 + 9
9x = 180 + 9

Combine like terms: 180 + 9 = 189
9x = 189

Divide each side by '9'.
x = 21

Simplifying
x = 21

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