To find the solution to the equation 11 - 4x = -9, we need to isolate the variable "x" on one side of the equation.
Step 1: Remove any parentheses.
The equation does not have any parentheses, so we can skip this step.
Step 2: Combine like terms.
On the left side of the equation, we have 11. On the right side, we have -9.
11 - 4x = -9
Step 3: Get rid of any constant terms.
To eliminate the constant term on the left side of the equation, we need to subtract 11 from both sides.
(11 - 11) - 4x = -9 - 11
0 - 4x = -20
Step 4: Simplify the equation.
0 - 4x simplifies to -4x.
-4x = -20
Step 5: Solve for the variable.
Now, to solve for "x," we need to divide both sides of the equation by -4.
(-4x) / -4 = (-20) / -4
x = 5
Therefore, the solution to the equation 11 - 4x = -9 is x = 5.