-6(x+4)+3(6x-5)=12x+3x

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Solution for -6(x+4)+3(6x-5)=12x+3x equation:


Simplifying
-6(x + 4) + 3(6x + -5) = 12x + 3x

Reorder the terms:
-6(4 + x) + 3(6x + -5) = 12x + 3x
(4 * -6 + x * -6) + 3(6x + -5) = 12x + 3x
(-24 + -6x) + 3(6x + -5) = 12x + 3x

Reorder the terms:
-24 + -6x + 3(-5 + 6x) = 12x + 3x
-24 + -6x + (-5 * 3 + 6x * 3) = 12x + 3x
-24 + -6x + (-15 + 18x) = 12x + 3x

Reorder the terms:
-24 + -15 + -6x + 18x = 12x + 3x

Combine like terms: -24 + -15 = -39
-39 + -6x + 18x = 12x + 3x

Combine like terms: -6x + 18x = 12x
-39 + 12x = 12x + 3x

Combine like terms: 12x + 3x = 15x
-39 + 12x = 15x

Solving
-39 + 12x = 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-39 + 12x + -15x = 15x + -15x

Combine like terms: 12x + -15x = -3x
-39 + -3x = 15x + -15x

Combine like terms: 15x + -15x = 0
-39 + -3x = 0

Add '39' to each side of the equation.
-39 + 39 + -3x = 0 + 39

Combine like terms: -39 + 39 = 0
0 + -3x = 0 + 39
-3x = 0 + 39

Combine like terms: 0 + 39 = 39
-3x = 39

Divide each side by '-3'.
x = -13

Simplifying
x = -13

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