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

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


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

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

Reorder the terms:
24 + 12x = 12 + -2(-6 + x)
24 + 12x = 12 + (-6 * -2 + x * -2)
24 + 12x = 12 + (12 + -2x)

Combine like terms: 12 + 12 = 24
24 + 12x = 24 + -2x

Add '-24' to each side of the equation.
24 + -24 + 12x = 24 + -24 + -2x

Combine like terms: 24 + -24 = 0
0 + 12x = 24 + -24 + -2x
12x = 24 + -24 + -2x

Combine like terms: 24 + -24 = 0
12x = 0 + -2x
12x = -2x

Solving
12x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
12x + 2x = -2x + 2x

Combine like terms: 12x + 2x = 14x
14x = -2x + 2x

Combine like terms: -2x + 2x = 0
14x = 0

Divide each side by '14'.
x = 0

Simplifying
x = 0

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