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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

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