3(x+6)=-4(12-2x)

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Solution for 3(x+6)=-4(12-2x) equation:


Simplifying
3(x + 6) = -4(12 + -2x)

Reorder the terms:
3(6 + x) = -4(12 + -2x)
(6 * 3 + x * 3) = -4(12 + -2x)
(18 + 3x) = -4(12 + -2x)
18 + 3x = (12 * -4 + -2x * -4)
18 + 3x = (-48 + 8x)

Solving
18 + 3x = -48 + 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.
18 + 3x + -8x = -48 + 8x + -8x

Combine like terms: 3x + -8x = -5x
18 + -5x = -48 + 8x + -8x

Combine like terms: 8x + -8x = 0
18 + -5x = -48 + 0
18 + -5x = -48

Add '-18' to each side of the equation.
18 + -18 + -5x = -48 + -18

Combine like terms: 18 + -18 = 0
0 + -5x = -48 + -18
-5x = -48 + -18

Combine like terms: -48 + -18 = -66
-5x = -66

Divide each side by '-5'.
x = 13.2

Simplifying
x = 13.2

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