Question

What is the value of x in the equation?
`(1)/(3) x - (2)/(3) = - 18`

Answer 1

Given equation:

`(1)/(3)x\text{ - }(2)/(3)\text{ = -18}`

Collect like terms:

`\begin{gathered} (1)/(3)x\text{ = -18 + }(2)/(3) \\ (1)/(3)x\text{ = }\frac{-54\text{ + 2}}{3} \\ (1)/(3)x\text{ = }(-52)/(3) \end{gathered}`

Cross-Multiply:

`\begin{gathered} x\text{ }*\text{ 3 = -52 }*\text{ 3} \\ Divide\text{ both sides by 3} \\ (3x)/(3)\text{ = }\frac{-52\text{ }*3}{3} \\ x\text{ = -52} \end{gathered}`

Answer:

x = -52