Question

complete the process of solving the equation. fill in the missing term and select the missing description. simplify any fractions. \\(\frac{x + 5}{-11} = 6\\) \\(x + 5 = -66\\) \\(x = \\) subtract 5 from both sides

Explanation:

Step1: Analyze the first step

To get from \(\frac{x + 5}{-11}=6\) to \(x + 5=-66\), we multiply both sides of the equation by \(-11\). So the missing description for the step \(\frac{x + 5}{-11}=6\) to \(x + 5=-66\) is "Multiply both sides by -11".

Step2: Solve for \(x\)

We have the equation \(x + 5=-66\). To solve for \(x\), we subtract 5 from both sides (as given: "Subtract 5 from both sides"). So \(x=-66 - 5=-71\).

Answer:

The missing description for \(\frac{x + 5}{-11}=6\) to \(x + 5=-66\) is "Multiply both sides by -11" and the value of \(x\) is \(-71\).