Answer
conditional equation
Work Step by Step
Distribute $\frac{1}{3}$ on the left side and $\frac{1}{5}$ on the right side, then combine like terms to obtain:
$\frac{1}{3}(6z) + \frac{1}{3}(12) = \frac{1}{5}(20z) +\frac{1}{5}(30) - 8
\\2z + 4 = 4z+6-8
\\2z + 4 = 4z - 2$
Subtract $2z$ and add $2$ on both sides of the equation to obtain:
$4+2=4z-2z
\\6 = 2z
\\\frac{6}{2} = \frac{2z}{2}
\\3 = z$
The given equation has one solution so it is a conditional equation.
