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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + 3x = 6 + -6 + -2x

Combine like terms: 6 + -6 = 0
0 + 3x = 6 + -6 + -2x
3x = 6 + -6 + -2x

Combine like terms: 6 + -6 = 0
3x = 0 + -2x
3x = -2x

Solving
3x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
3x + 2x = -2x + 2x

Combine like terms: 3x + 2x = 5x
5x = -2x + 2x

Combine like terms: -2x + 2x = 0
5x = 0

Divide each side by '5'.
x = 0

Simplifying
x = 0