#### Answer

{11}

#### Work Step by Step

14 - 5x = -41
Step 1: Subtract 14 from both the sides
14 -5x -14 = -41-14
Step 2: Simplify
- 5x= -55
Step 3: Divide both the sides by -5
$\frac{-5x}{-5}$ = $\frac{-55}{-5}$
Step 4: Simplify
x = 11
Now we check the proposed solution, 11, by replacing x with 11 in the original equation.
Step 1: the original equation 14 - 5x = -41
Step2: Substitute 11 for x
14 - 5.(11) = -41
Step 3: Multiply 5.(11) = 55
14 - 55 = -41
Step 4: Solve 14 -55 = -41
-41 =-41
Since the check results in true statement, we conclude that the solution set of the given equation is {11}