2(3x+1)-2x=-4(2x)-4

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Solution for 2(3x+1)-2x=-4(2x)-4 equation: 


Simplifying
2(3x + 1) + -2x = -4(2x) + -4

Reorder the terms:
2(1 + 3x) + -2x = -4(2x) + -4
(1 * 2 + 3x * 2) + -2x = -4(2x) + -4
(2 + 6x) + -2x = -4(2x) + -4

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

Remove parenthesis around (2x)
2 + 4x = -4 * 2x + -4

Multiply -4 * 2
2 + 4x = -8x + -4

Reorder the terms:
2 + 4x = -4 + -8x

Solving
2 + 4x = -4 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
2 + 4x + 8x = -4 + -8x + 8x

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

Combine like terms: -8x + 8x = 0
2 + 12x = -4 + 0
2 + 12x = -4

Add '-2' to each side of the equation.
2 + -2 + 12x = -4 + -2

Combine like terms: 2 + -2 = 0
0 + 12x = -4 + -2
12x = -4 + -2

Combine like terms: -4 + -2 = -6
12x = -6

Divide each side by '12'.
x = -0.5

Simplifying
x = -0.5

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