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

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

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

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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + 3x = 6 + -6 + 1x

Combine like terms: 6 + -6 = 0
0 + 3x = 6 + -6 + 1x
3x = 6 + -6 + 1x

Combine like terms: 6 + -6 = 0
3x = 0 + 1x
3x = 1x

Solving
3x = 1x

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.
3x + -1x = 1x + -1x

Combine like terms: 3x + -1x = 2x
2x = 1x + -1x

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

Divide each side by '2'.
x = 0

Simplifying
x = 0