3(2x+4)-4(x-1)=-8

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Solution for 3(2x+4)-4(x-1)=-8 equation: 


Simplifying
3(2x + 4) + -4(x + -1) = -8

Reorder the terms:
3(4 + 2x) + -4(x + -1) = -8
(4 * 3 + 2x * 3) + -4(x + -1) = -8
(12 + 6x) + -4(x + -1) = -8

Reorder the terms:
12 + 6x + -4(-1 + x) = -8
12 + 6x + (-1 * -4 + x * -4) = -8
12 + 6x + (4 + -4x) = -8

Reorder the terms:
12 + 4 + 6x + -4x = -8

Combine like terms: 12 + 4 = 16
16 + 6x + -4x = -8

Combine like terms: 6x + -4x = 2x
16 + 2x = -8

Solving
16 + 2x = -8

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 2x = -8 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = -8 + -16
2x = -8 + -16

Combine like terms: -8 + -16 = -24
2x = -24

Divide each side by '2'.
x = -12

Simplifying
x = -12

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