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

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


Simplifying
3(2 + -1x) = 2(2x + -4)
(2 * 3 + -1x * 3) = 2(2x + -4)
(6 + -3x) = 2(2x + -4)

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

Solving
6 + -3x = -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.
6 + -3x + -4x = -8 + 4x + -4x

Combine like terms: -3x + -4x = -7x
6 + -7x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -7x = -8 + 0
6 + -7x = -8

Add '-6' to each side of the equation.
6 + -6 + -7x = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = -8 + -6
-7x = -8 + -6

Combine like terms: -8 + -6 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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