4(3x+2)=3(2x)-8

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Solution for 4(3x+2)=3(2x)-8 equation: 


Simplifying
4(3x + 2) = 3(2x) + -8

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

Remove parenthesis around (2x)
8 + 12x = 3 * 2x + -8

Multiply 3 * 2
8 + 12x = 6x + -8

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

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

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

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

Add '-8' to each side of the equation.
8 + -8 + 6x = -8 + -8

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

Combine like terms: -8 + -8 = -16
6x = -16

Divide each side by '6'.
x = -2.666666667

Simplifying
x = -2.666666667

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