1/3 (z+4) - 6=2/3 (5-z)

z=8

Step-by-step explanation:

1/3 * (z+4) - 6=2/3 * (5-z)

distribute 2/3 through the parenthesis

1/3z+4/3-6=10/3-2/3z

calculate the difference

1/3z-14/3=10/3-2/3z

multiply both sides of the equation by 3

z-14=10-2z

move variable to the left and change sign

z+2z=10+14

collect like terms

3z=24

divide both sides by 3

z=8

If solving for z, z=8