6(x+4)=3x-2

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


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

Reorder the terms:
6(4 + x) = 3x + -2
(4 * 6 + x * 6) = 3x + -2
(24 + 6x) = 3x + -2

Reorder the terms:
24 + 6x = -2 + 3x

Solving
24 + 6x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
24 + 6x + -3x = -2 + 3x + -3x

Combine like terms: 6x + -3x = 3x
24 + 3x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + 3x = -2 + 0
24 + 3x = -2

Add '-24' to each side of the equation.
24 + -24 + 3x = -2 + -24

Combine like terms: 24 + -24 = 0
0 + 3x = -2 + -24
3x = -2 + -24

Combine like terms: -2 + -24 = -26
3x = -26

Divide each side by '3'.
x = -8.666666667

Simplifying
x = -8.666666667

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