3(2x+4)=6(x-4)-2(x-1)

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Solution for 3(2x+4)=6(x-4)-2(x-1) equation:


Simplifying
3(2x + 4) = 6(x + -4) + -2(x + -1)

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

Reorder the terms:
12 + 6x = 6(-4 + x) + -2(x + -1)
12 + 6x = (-4 * 6 + x * 6) + -2(x + -1)
12 + 6x = (-24 + 6x) + -2(x + -1)

Reorder the terms:
12 + 6x = -24 + 6x + -2(-1 + x)
12 + 6x = -24 + 6x + (-1 * -2 + x * -2)
12 + 6x = -24 + 6x + (2 + -2x)

Reorder the terms:
12 + 6x = -24 + 2 + 6x + -2x

Combine like terms: -24 + 2 = -22
12 + 6x = -22 + 6x + -2x

Combine like terms: 6x + -2x = 4x
12 + 6x = -22 + 4x

Solving
12 + 6x = -22 + 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 + 6x + -4x = -22 + 4x + -4x

Combine like terms: 6x + -4x = 2x
12 + 2x = -22 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 2x = -22 + 0
12 + 2x = -22

Add '-12' to each side of the equation.
12 + -12 + 2x = -22 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = -22 + -12
2x = -22 + -12

Combine like terms: -22 + -12 = -34
2x = -34

Divide each side by '2'.
x = -17

Simplifying
x = -17

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