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

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


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

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

Combine like terms: 3x + 2x = 5x
12 + 5x = 2(x + -2) + -4

Reorder the terms:
12 + 5x = 2(-2 + x) + -4
12 + 5x = (-2 * 2 + x * 2) + -4
12 + 5x = (-4 + 2x) + -4

Reorder the terms:
12 + 5x = -4 + -4 + 2x

Combine like terms: -4 + -4 = -8
12 + 5x = -8 + 2x

Solving
12 + 5x = -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 + 5x + -2x = -8 + 2x + -2x

Combine like terms: 5x + -2x = 3x
12 + 3x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 3x = -8 + 0
12 + 3x = -8

Add '-12' to each side of the equation.
12 + -12 + 3x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = -8 + -12
3x = -8 + -12

Combine like terms: -8 + -12 = -20
3x = -20

Divide each side by '3'.
x = -6.666666667

Simplifying
x = -6.666666667

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