Answer
x = -22
Explanation:
Given the following equation
[tex]\begin{gathered} -13\text{ - }\frac{2}{11}x\text{ = -9} \\ \text{Step 1}\colon\text{ Find the common denominator} \\ \text{The common denominator is 11} \\ \frac{-13\cdot11\text{ - 2x}}{11}\text{ = -9} \\ \text{Cross multiply} \\ -13\cdot11\text{ - 2x = -9 }\cdot\text{ 11} \\ -143\text{ - 2x = -99} \\ \text{Collect the like terms} \\ -2x\text{ = -99 + 143} \\ -2x\text{ = 44} \\ \text{Divide both sides by -2} \\ \frac{-2x}{-2}\text{ = }\frac{44}{-2} \\ \text{x = -22} \\ \end{gathered}[/tex]Therefore, x = -22
