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

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

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

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

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

Combine like terms: -4 + 3 = -1
6 + 3x = 2(-1 + 4x)
6 + 3x = (-1 * 2 + 4x * 2)
6 + 3x = (-2 + 8x)

Solving
6 + 3x = -2 + 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 = -2 + 8x + -8x

Combine like terms: 3x + -8x = -5x
6 + -5x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -5x = -2 + 0
6 + -5x = -2

Add '-6' to each side of the equation.
6 + -6 + -5x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -2 + -6
-5x = -2 + -6

Combine like terms: -2 + -6 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6