4z+6=24-2z

Solution for 4z+6=24-2z equation:

Simplifying
4z + 6 = 24 + -2z

Reorder the terms:
6 + 4z = 24 + -2z

Solving
6 + 4z = 24 + -2z

Solving for variable 'z'.

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

Add '2z' to each side of the equation.
6 + 4z + 2z = 24 + -2z + 2z

Combine like terms: 4z + 2z = 6z
6 + 6z = 24 + -2z + 2z

Combine like terms: -2z + 2z = 0
6 + 6z = 24 + 0
6 + 6z = 24

Add '-6' to each side of the equation.
6 + -6 + 6z = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 6z = 24 + -6
6z = 24 + -6

Combine like terms: 24 + -6 = 18
6z = 18

Divide each side by '6'.
z = 3

Simplifying
z = 3