#### Answer

{2}

#### Work Step by Step

7x + 4 = x + 16
Step 1 : Collect variable terms on one side and constants on the other side.
subtract x from both the sides
7x + 4 - x = x +16 -x
Simplify
6x + 4 = 16
Subtract 4 from both the sides
6x + 4 -4 = 16 - 4
Simplify
6x = 12
Divide both the sides by 6
$\frac{6x}{6}$ = $\frac{12}{6}$
x =2
Now we check the proposed solution,2 , by replacing x with 2 in the original equation.
Step 1: the original equation 7x + 4 = x + 16
Step2: Substitute 2 for x
7.(2) + 4 = 2 + 16
Step 3: Multiply 7.2 = 14
14 + 4 = 2 + 16
Step 4: Solve
18 = 18
Since the check results in true statement, we conclude that the solution set of the given equation is {2}