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

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

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

Reorder the terms:
3(4 + 2x) = 4(3x + -2)
(4 * 3 + 2x * 3) = 4(3x + -2)
(12 + 6x) = 4(3x + -2)

Reorder the terms:
12 + 6x = 4(-2 + 3x)
12 + 6x = (-2 * 4 + 3x * 4)
12 + 6x = (-8 + 12x)

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

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

Combine like terms: 12x + -12x = 0
12 + -6x = -8 + 0
12 + -6x = -8

Add '-12' to each side of the equation.
12 + -12 + -6x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -6x = -8 + -12
-6x = -8 + -12

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

Divide each side by '-6'.
x = 3.333333333

Simplifying
x = 3.333333333