(6x+6)+(10x-30)=180

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Solution for (6x+6)+(10x-30)=180 equation:


Simplifying
(6x + 6) + (10x + -30) = 180

Reorder the terms:
(6 + 6x) + (10x + -30) = 180

Remove parenthesis around (6 + 6x)
6 + 6x + (10x + -30) = 180

Reorder the terms:
6 + 6x + (-30 + 10x) = 180

Remove parenthesis around (-30 + 10x)
6 + 6x + -30 + 10x = 180

Reorder the terms:
6 + -30 + 6x + 10x = 180

Combine like terms: 6 + -30 = -24
-24 + 6x + 10x = 180

Combine like terms: 6x + 10x = 16x
-24 + 16x = 180

Solving
-24 + 16x = 180

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 16x = 180 + 24

Combine like terms: -24 + 24 = 0
0 + 16x = 180 + 24
16x = 180 + 24

Combine like terms: 180 + 24 = 204
16x = 204

Divide each side by '16'.
x = 12.75

Simplifying
x = 12.75

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