2(x+3)=5[x-(2-x)]

Solution for 2(x+3)=5[x-(2-x)] equation:

Simplifying
2(x + 3) = 5[x + -1(2 + -1x)]

Reorder the terms:
2(3 + x) = 5[x + -1(2 + -1x)]
(3 * 2 + x * 2) = 5[x + -1(2 + -1x)]
(6 + 2x) = 5[x + -1(2 + -1x)]
6 + 2x = 5[x + (2 * -1 + -1x * -1)]
6 + 2x = 5[x + (-2 + 1x)]

Reorder the terms:
6 + 2x = 5[-2 + x + 1x]

Combine like terms: x + 1x = 2x
6 + 2x = 5[-2 + 2x]
6 + 2x = [-2 * 5 + 2x * 5]
6 + 2x = [-10 + 10x]

Solving
6 + 2x = -10 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + 2x + -10x = -10 + 10x + -10x

Combine like terms: 2x + -10x = -8x
6 + -8x = -10 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -8x = -10 + 0
6 + -8x = -10

Add '-6' to each side of the equation.
6 + -6 + -8x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = -10 + -6
-8x = -10 + -6

Combine like terms: -10 + -6 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2