12(x+3)=24(x-2)

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Solution for 12(x+3)=24(x-2) equation: 


Simplifying
12(x + 3) = 24(x + -2)

Reorder the terms:
12(3 + x) = 24(x + -2)
(3 * 12 + x * 12) = 24(x + -2)
(36 + 12x) = 24(x + -2)

Reorder the terms:
36 + 12x = 24(-2 + x)
36 + 12x = (-2 * 24 + x * 24)
36 + 12x = (-48 + 24x)

Solving
36 + 12x = -48 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
36 + 12x + -24x = -48 + 24x + -24x

Combine like terms: 12x + -24x = -12x
36 + -12x = -48 + 24x + -24x

Combine like terms: 24x + -24x = 0
36 + -12x = -48 + 0
36 + -12x = -48

Add '-36' to each side of the equation.
36 + -36 + -12x = -48 + -36

Combine like terms: 36 + -36 = 0
0 + -12x = -48 + -36
-12x = -48 + -36

Combine like terms: -48 + -36 = -84
-12x = -84

Divide each side by '-12'.
x = 7

Simplifying
x = 7

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