Question

11(x - 17) = -11
x - 17 = -1
x =
add 11 to both sides
subtract 11 from both sides
multiply both sides by 11
divide both sides by 11
combine like terms

Explanation:

Step1: Analyze the operation from first to second equation

To get from \(11(x - 17)=- 11\) to \(x - 17=-1\), we divide both sides of the equation \(11(x - 17)=-11\) by 11. So the operation is "Divide both sides by 11".

Step2: Solve for \(x\)

We have the equation \(x - 17=-1\). To solve for \(x\), we add 17 to both sides of the equation.
\(x-17 + 17=-1+17\)
\(x = 16\)

Answer:

The operation to get from \(11(x - 17)=-11\) to \(x - 17=-1\) is "Divide both sides by 11", and \(x = 16\)