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

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


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

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

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

Solving
6 + -3x = 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.
6 + -3x + -2x = 8 + 2x + -2x

Combine like terms: -3x + -2x = -5x
6 + -5x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -5x = 8 + 0
6 + -5x = 8

Add '-6' to each side of the equation.
6 + -6 + -5x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 8 + -6
-5x = 8 + -6

Combine like terms: 8 + -6 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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