To solve the equation \(\frac{12 - x}{9} = 11\), follow these steps:
-
Multiply both sides by 9 to eliminate the fraction: \[ 12 - x = 11 \times 9 \]
-
Calculate \(11 \times 9\): \[ 11 \times 9 = 99 \] This gives us: \[ 12 - x = 99 \]
-
Now, isolate \(x\) by subtracting 12 from both sides: \[ -x = 99 - 12 \]
-
Calculate \(99 - 12\): \[ 99 - 12 = 87 \] Therefore: \[ -x = 87 \]
-
Finally, multiply both sides by -1 to solve for \(x\): \[ x = -87 \]
So, the solution is: \[ \boxed{-87} \]