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

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


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

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

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

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

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
12 + 6x + 6x = -12 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
12 + 12x = -12 + 0
12 + 12x = -12

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

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

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

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

Simplifying
x = -2

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