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

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


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

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

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

Reorder the terms:
-24 + 6x = 8 + -12 + 4x

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

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

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

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

Add '24' to each side of the equation.
-24 + 24 + 2x = -4 + 24

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

Combine like terms: -4 + 24 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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