3(-4x+6)-2(3x-12)-15=18

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Solution for 3(-4x+6)-2(3x-12)-15=18 equation: 


Simplifying
3(-4x + 6) + -2(3x + -12) + -15 = 18

Reorder the terms:
3(6 + -4x) + -2(3x + -12) + -15 = 18
(6 * 3 + -4x * 3) + -2(3x + -12) + -15 = 18
(18 + -12x) + -2(3x + -12) + -15 = 18

Reorder the terms:
18 + -12x + -2(-12 + 3x) + -15 = 18
18 + -12x + (-12 * -2 + 3x * -2) + -15 = 18
18 + -12x + (24 + -6x) + -15 = 18

Reorder the terms:
18 + 24 + -15 + -12x + -6x = 18

Combine like terms: 18 + 24 = 42
42 + -15 + -12x + -6x = 18

Combine like terms: 42 + -15 = 27
27 + -12x + -6x = 18

Combine like terms: -12x + -6x = -18x
27 + -18x = 18

Solving
27 + -18x = 18

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + -18x = 18 + -27

Combine like terms: 27 + -27 = 0
0 + -18x = 18 + -27
-18x = 18 + -27

Combine like terms: 18 + -27 = -9
-18x = -9

Divide each side by '-18'.
x = 0.5

Simplifying
x = 0.5

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