#### Answer

{14}

#### Work Step by Step

3x +8 = 50
Step 1: Subtract 8 from both the sides
3x +8 - 8 = 50 - 8
Step 2: Simplify
3x = 42
Step 3: Divide both the sides by 3
$\frac{3x}{3}$ = $\frac{42}{3}$
Step 4: Simplify
x = 14
Now we check the proposed solution, 14, by replacing x with 14 in the original equation.
Step 1: the original equation 3x +8 =50
Step2: Substitute 14 for x
3.14 + 8 = 50
Step 3: Multiply 3.14 = 42
42 + 8 = 50
Step 4: Add 42 +8 = 50
50 =50
Since the check results in true statement, we conclude that the solution set of the given equation is {14}