Answer
$x=-5$
Work Step by Step
Step 1: $9x+11=7x+1$
Step 2: Subtracting $11$ from both sides, $9x+11-11=7x+1-11$
Step 3: $9x=7x-10$
Step 4: Subtracting $7x$ from both sides, $9x-7x=7x-10-7x$
Step 5: $2x=-10$
Step 6: Dividing each side by $2$, $\frac{2x}{2}=\frac{-10}{2}$
Step 7: As a result, $x=-5$