-3(5x-12)=5(x+6)-8x

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Solution for -3(5x-12)=5(x+6)-8x equation: 


Simplifying
-3(5x + -12) = 5(x + 6) + -8x

Reorder the terms:
-3(-12 + 5x) = 5(x + 6) + -8x
(-12 * -3 + 5x * -3) = 5(x + 6) + -8x
(36 + -15x) = 5(x + 6) + -8x

Reorder the terms:
36 + -15x = 5(6 + x) + -8x
36 + -15x = (6 * 5 + x * 5) + -8x
36 + -15x = (30 + 5x) + -8x

Combine like terms: 5x + -8x = -3x
36 + -15x = 30 + -3x

Solving
36 + -15x = 30 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
36 + -15x + 3x = 30 + -3x + 3x

Combine like terms: -15x + 3x = -12x
36 + -12x = 30 + -3x + 3x

Combine like terms: -3x + 3x = 0
36 + -12x = 30 + 0
36 + -12x = 30

Add '-36' to each side of the equation.
36 + -36 + -12x = 30 + -36

Combine like terms: 36 + -36 = 0
0 + -12x = 30 + -36
-12x = 30 + -36

Combine like terms: 30 + -36 = -6
-12x = -6

Divide each side by '-12'.
x = 0.5

Simplifying
x = 0.5

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