6(x+2)=3x-8

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Solution for 6(x+2)=3x-8 equation:


Simplifying
6(x + 2) = 3x + -8

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

Reorder the terms:
12 + 6x = -8 + 3x

Solving
12 + 6x = -8 + 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.
12 + 6x + -3x = -8 + 3x + -3x

Combine like terms: 6x + -3x = 3x
12 + 3x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 3x = -8 + 0
12 + 3x = -8

Add '-12' to each side of the equation.
12 + -12 + 3x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = -8 + -12
3x = -8 + -12

Combine like terms: -8 + -12 = -20
3x = -20

Divide each side by '3'.
x = -6.666666667

Simplifying
x = -6.666666667

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