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

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


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

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

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

Solving
18 + 6x = -8 + -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.
18 + 6x + 6x = -8 + -6x + 6x

Combine like terms: 6x + 6x = 12x
18 + 12x = -8 + -6x + 6x

Combine like terms: -6x + 6x = 0
18 + 12x = -8 + 0
18 + 12x = -8

Add '-18' to each side of the equation.
18 + -18 + 12x = -8 + -18

Combine like terms: 18 + -18 = 0
0 + 12x = -8 + -18
12x = -8 + -18

Combine like terms: -8 + -18 = -26
12x = -26

Divide each side by '12'.
x = -2.166666667

Simplifying
x = -2.166666667

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