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

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


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

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: -8 + -12 = -20
-8x = -20

Divide each side by '-8'.
x = 2.5

Simplifying
x = 2.5

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