(9x+12)-(120-9x)=18

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Solution for (9x+12)-(120-9x)=18 equation:


Simplifying
(9x + 12) + -1(120 + -9x) = 18

Reorder the terms:
(12 + 9x) + -1(120 + -9x) = 18

Remove parenthesis around (12 + 9x)
12 + 9x + -1(120 + -9x) = 18
12 + 9x + (120 * -1 + -9x * -1) = 18
12 + 9x + (-120 + 9x) = 18

Reorder the terms:
12 + -120 + 9x + 9x = 18

Combine like terms: 12 + -120 = -108
-108 + 9x + 9x = 18

Combine like terms: 9x + 9x = 18x
-108 + 18x = 18

Solving
-108 + 18x = 18

Solving for variable 'x'.

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

Add '108' to each side of the equation.
-108 + 108 + 18x = 18 + 108

Combine like terms: -108 + 108 = 0
0 + 18x = 18 + 108
18x = 18 + 108

Combine like terms: 18 + 108 = 126
18x = 126

Divide each side by '18'.
x = 7

Simplifying
x = 7

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