3(x+4)-12(x-8)=18

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Solution for 3(x+4)-12(x-8)=18 equation: 


Simplifying
3(x + 4) + -12(x + -8) = 18

Reorder the terms:
3(4 + x) + -12(x + -8) = 18
(4 * 3 + x * 3) + -12(x + -8) = 18
(12 + 3x) + -12(x + -8) = 18

Reorder the terms:
12 + 3x + -12(-8 + x) = 18
12 + 3x + (-8 * -12 + x * -12) = 18
12 + 3x + (96 + -12x) = 18

Reorder the terms:
12 + 96 + 3x + -12x = 18

Combine like terms: 12 + 96 = 108
108 + 3x + -12x = 18

Combine like terms: 3x + -12x = -9x
108 + -9x = 18

Solving
108 + -9x = 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 + -9x = 18 + -108

Combine like terms: 108 + -108 = 0
0 + -9x = 18 + -108
-9x = 18 + -108

Combine like terms: 18 + -108 = -90
-9x = -90

Divide each side by '-9'.
x = 10

Simplifying
x = 10

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