3(x+4)-6x=2(4-2x)

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Solution for 3(x+4)-6x=2(4-2x) equation: 


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

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

Combine like terms: 3x + -6x = -3x
12 + -3x = 2(4 + -2x)
12 + -3x = (4 * 2 + -2x * 2)
12 + -3x = (8 + -4x)

Solving
12 + -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.
12 + -3x + 4x = 8 + -4x + 4x

Combine like terms: -3x + 4x = 1x
12 + 1x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
12 + 1x = 8 + 0
12 + 1x = 8

Add '-12' to each side of the equation.
12 + -12 + 1x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 8 + -12
1x = 8 + -12

Combine like terms: 8 + -12 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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