3(2x-8)=4-2(6-2x)

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Solution for 3(2x-8)=4-2(6-2x) equation: 


Simplifying
3(2x + -8) = 4 + -2(6 + -2x)

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

Combine like terms: 4 + -12 = -8
-24 + 6x = -8 + 4x

Solving
-24 + 6x = -8 + 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 + 6x + -4x = -8 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-24 + 2x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-24 + 2x = -8 + 0
-24 + 2x = -8

Add '24' to each side of the equation.
-24 + 24 + 2x = -8 + 24

Combine like terms: -24 + 24 = 0
0 + 2x = -8 + 24
2x = -8 + 24

Combine like terms: -8 + 24 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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