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)

Reorder the terms:
8 + 12x = 3(-8 + 2x)
8 + 12x = (-8 * 3 + 2x * 3)
8 + 12x = (-24 + 6x)

Solving
8 + 12x = -24 + 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 = -24 + 6x + -6x

Combine like terms: 12x + -6x = 6x
8 + 6x = -24 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + 6x = -24 + 0
8 + 6x = -24

Add '-8' to each side of the equation.
8 + -8 + 6x = -24 + -8

Combine like terms: 8 + -8 = 0
0 + 6x = -24 + -8
6x = -24 + -8

Combine like terms: -24 + -8 = -32
6x = -32

Divide each side by '6'.
x = -5.333333333

Simplifying
x = -5.333333333

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