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

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


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

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

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

Solving
12 + 6x = -12 + -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 + 6x + 2x = -12 + -2x + 2x

Combine like terms: 6x + 2x = 8x
12 + 8x = -12 + -2x + 2x

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

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

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

Combine like terms: -12 + -12 = -24
8x = -24

Divide each side by '8'.
x = -3

Simplifying
x = -3

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