6(x+3)=-4(5x-4)+8x

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Solution for 6(x+3)=-4(5x-4)+8x equation: 


Simplifying
6(x + 3) = -4(5x + -4) + 8x

Reorder the terms:
6(3 + x) = -4(5x + -4) + 8x
(3 * 6 + x * 6) = -4(5x + -4) + 8x
(18 + 6x) = -4(5x + -4) + 8x

Reorder the terms:
18 + 6x = -4(-4 + 5x) + 8x
18 + 6x = (-4 * -4 + 5x * -4) + 8x
18 + 6x = (16 + -20x) + 8x

Combine like terms: -20x + 8x = -12x
18 + 6x = 16 + -12x

Solving
18 + 6x = 16 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
18 + 6x + 12x = 16 + -12x + 12x

Combine like terms: 6x + 12x = 18x
18 + 18x = 16 + -12x + 12x

Combine like terms: -12x + 12x = 0
18 + 18x = 16 + 0
18 + 18x = 16

Add '-18' to each side of the equation.
18 + -18 + 18x = 16 + -18

Combine like terms: 18 + -18 = 0
0 + 18x = 16 + -18
18x = 16 + -18

Combine like terms: 16 + -18 = -2
18x = -2

Divide each side by '18'.
x = -0.1111111111

Simplifying
x = -0.1111111111

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