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

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


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

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

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

Combine like terms: 12 + 8 = 20
-24 + 18x = 20 + -4x

Solving
-24 + 18x = 20 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-24 + 18x + 4x = 20 + -4x + 4x

Combine like terms: 18x + 4x = 22x
-24 + 22x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
-24 + 22x = 20 + 0
-24 + 22x = 20

Add '24' to each side of the equation.
-24 + 24 + 22x = 20 + 24

Combine like terms: -24 + 24 = 0
0 + 22x = 20 + 24
22x = 20 + 24

Combine like terms: 20 + 24 = 44
22x = 44

Divide each side by '22'.
x = 2

Simplifying
x = 2

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