Answer :
Given equation:
[tex]\frac{1}{3}x\text{ - }\frac{2}{3}\text{ = -18}[/tex]Collect like terms:
[tex]\begin{gathered} \frac{1}{3}x\text{ = -18 + }\frac{2}{3} \\ \frac{1}{3}x\text{ = }\frac{-54\text{ + 2}}{3} \\ \frac{1}{3}x\text{ = }\frac{-52}{3} \end{gathered}[/tex]Cross-Multiply:
[tex]\begin{gathered} x\text{ }\times\text{ 3 = -52 }\times\text{ 3} \\ Divide\text{ both sides by 3} \\ \frac{3x}{3}\text{ = }\frac{-52\text{ }\times3}{3} \\ x\text{ = -52} \end{gathered}[/tex]Answer:
x = -52