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

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


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

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

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

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

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

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

Combine like terms: 3x + -2x = 1x
2 + 1x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 1x = -8 + 0
2 + 1x = -8

Add '-2' to each side of the equation.
2 + -2 + 1x = -8 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -8 + -2
1x = -8 + -2

Combine like terms: -8 + -2 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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