What is the value of z for the equation: 1/3z=-5/6+1/6z?

Please solve and show steps on how you got the answer.

Respuesta :

z = -5

Rewrite the fractions
z/3 = z/6 +  -5/6

z/3 = 5/6 - z/6

z/3 = z-5/6

By multiplying both sides by the lcm [6], you get 2z=z−5, and you simplify to get your answer.