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

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


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

Reorder the terms:
6(-4 + 3x) = 12 + -2(6x + -4)
(-4 * 6 + 3x * 6) = 12 + -2(6x + -4)
(-24 + 18x) = 12 + -2(6x + -4)

Reorder the terms:
-24 + 18x = 12 + -2(-4 + 6x)
-24 + 18x = 12 + (-4 * -2 + 6x * -2)
-24 + 18x = 12 + (8 + -12x)

Combine like terms: 12 + 8 = 20
-24 + 18x = 20 + -12x

Solving
-24 + 18x = 20 + -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.
-24 + 18x + 12x = 20 + -12x + 12x

Combine like terms: 18x + 12x = 30x
-24 + 30x = 20 + -12x + 12x

Combine like terms: -12x + 12x = 0
-24 + 30x = 20 + 0
-24 + 30x = 20

Add '24' to each side of the equation.
-24 + 24 + 30x = 20 + 24

Combine like terms: -24 + 24 = 0
0 + 30x = 20 + 24
30x = 20 + 24

Combine like terms: 20 + 24 = 44
30x = 44

Divide each side by '30'.
x = 1.466666667

Simplifying
x = 1.466666667

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