2(4-z-1)=3(z+2)

Solution for 2(4-z-1)=3(z+2) equation:

Simplifying
2(4 + -1z + -1) = 3(z + 2)

Reorder the terms:
2(4 + -1 + -1z) = 3(z + 2)

Combine like terms: 4 + -1 = 3
2(3 + -1z) = 3(z + 2)
(3 * 2 + -1z * 2) = 3(z + 2)
(6 + -2z) = 3(z + 2)

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

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

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

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

Solving
-2z = 3z

Solving for variable 'z'.

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

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

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

Combine like terms: 3z + -3z = 0
-5z = 0

Divide each side by '-5'.
z = 0

Simplifying
z = 0