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

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

Simplifying
3(x + 2) = 4[x + -1(4 + -1x)]

Reorder the terms:
3(2 + x) = 4[x + -1(4 + -1x)]
(2 * 3 + x * 3) = 4[x + -1(4 + -1x)]
(6 + 3x) = 4[x + -1(4 + -1x)]
6 + 3x = 4[x + (4 * -1 + -1x * -1)]
6 + 3x = 4[x + (-4 + 1x)]

Reorder the terms:
6 + 3x = 4[-4 + x + 1x]

Combine like terms: x + 1x = 2x
6 + 3x = 4[-4 + 2x]
6 + 3x = [-4 * 4 + 2x * 4]
6 + 3x = [-16 + 8x]

Solving
6 + 3x = -16 + 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 = -16 + 8x + -8x

Combine like terms: 3x + -8x = -5x
6 + -5x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -5x = -16 + 0
6 + -5x = -16

Add '-6' to each side of the equation.
6 + -6 + -5x = -16 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -16 + -6
-5x = -16 + -6

Combine like terms: -16 + -6 = -22
-5x = -22

Divide each side by '-5'.
x = 4.4

Simplifying
x = 4.4