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

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

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

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

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

Remove parenthesis around (-2 + x)
6 + 2x = -2 + x

Solving
6 + 2x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 2x + -1x = -2 + x + -1x

Combine like terms: 2x + -1x = 1x
6 + 1x = -2 + x + -1x

Combine like terms: x + -1x = 0
6 + 1x = -2 + 0
6 + 1x = -2

Add '-6' to each side of the equation.
6 + -6 + 1x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = -2 + -6
1x = -2 + -6

Combine like terms: -2 + -6 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8