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

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

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

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

Remove parenthesis around (4x)
6 + 3x = 2 * 4x

Multiply 2 * 4
6 + 3x = 8x

Solving
6 + 3x = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 3x + -8x = 8x + -8x

Combine like terms: 3x + -8x = -5x
6 + -5x = 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -5x = 0

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2