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

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


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

Reorder the terms:
3(12 + 2x) = 4(3x + -6)
(12 * 3 + 2x * 3) = 4(3x + -6)
(36 + 6x) = 4(3x + -6)

Reorder the terms:
36 + 6x = 4(-6 + 3x)
36 + 6x = (-6 * 4 + 3x * 4)
36 + 6x = (-24 + 12x)

Solving
36 + 6x = -24 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
36 + 6x + -12x = -24 + 12x + -12x

Combine like terms: 6x + -12x = -6x
36 + -6x = -24 + 12x + -12x

Combine like terms: 12x + -12x = 0
36 + -6x = -24 + 0
36 + -6x = -24

Add '-36' to each side of the equation.
36 + -36 + -6x = -24 + -36

Combine like terms: 36 + -36 = 0
0 + -6x = -24 + -36
-6x = -24 + -36

Combine like terms: -24 + -36 = -60
-6x = -60

Divide each side by '-6'.
x = 10

Simplifying
x = 10

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