3(4-2x)=-2(4x-1)

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Solution for 3(4-2x)=-2(4x-1) equation: 


Simplifying
3(4 + -2x) = -2(4x + -1)
(4 * 3 + -2x * 3) = -2(4x + -1)
(12 + -6x) = -2(4x + -1)

Reorder the terms:
12 + -6x = -2(-1 + 4x)
12 + -6x = (-1 * -2 + 4x * -2)
12 + -6x = (2 + -8x)

Solving
12 + -6x = 2 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
12 + -6x + 8x = 2 + -8x + 8x

Combine like terms: -6x + 8x = 2x
12 + 2x = 2 + -8x + 8x

Combine like terms: -8x + 8x = 0
12 + 2x = 2 + 0
12 + 2x = 2

Add '-12' to each side of the equation.
12 + -12 + 2x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 2 + -12
2x = 2 + -12

Combine like terms: 2 + -12 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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