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

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

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

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

Reorder the terms:
6 + 2x = 3[-2 + x + 1x]

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

Solving
6 + 2x = -6 + 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.
6 + 2x + -6x = -6 + 6x + -6x

Combine like terms: 2x + -6x = -4x
6 + -4x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -4x = -6 + 0
6 + -4x = -6

Add '-6' to each side of the equation.
6 + -6 + -4x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -6 + -6
-4x = -6 + -6

Combine like terms: -6 + -6 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3