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

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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + 2z = 6 + 3X + -6 + -1x

Combine like terms: 6 + -6 = 0
0 + 2z = 6 + 3X + -6 + -1x
2z = 6 + 3X + -6 + -1x

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

Combine like terms: 6 + -6 = 0
2z = 0 + 3X + -1x
2z = 3X + -1x

Solving
2z = 3X + -1x

Solving for variable 'z'.

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

Divide each side by '2'.
z = 1.5X + -0.5x

Simplifying
z = 1.5X + -0.5x