2(3x+12)=3(4x+8)

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Solution for 2(3x+12)=3(4x+8) equation:


Simplifying
2(3x + 12) = 3(4x + 8)

Reorder the terms:
2(12 + 3x) = 3(4x + 8)
(12 * 2 + 3x * 2) = 3(4x + 8)
(24 + 6x) = 3(4x + 8)

Reorder the terms:
24 + 6x = 3(8 + 4x)
24 + 6x = (8 * 3 + 4x * 3)
24 + 6x = (24 + 12x)

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

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

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

Solving
6x = 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.
6x + -12x = 12x + -12x

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

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

Divide each side by '-6'.
x = 0

Simplifying
x = 0

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