Find answers to your most challenging questions with the help of IDNLearn.com's experts. Get step-by-step guidance for all your technical questions from our knowledgeable community members.

What is the value of x in the equation?[tex] \frac{1}{3} x - \frac{2}{3} = - 18 [/tex]

Sagot :

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

We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Find precise solutions at IDNLearn.com. Thank you for trusting us with your queries, and we hope to see you again.