Answer:
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
