#### Answer

{3}

#### Work Step by Step

6x =18
Step 1: Divide both the sides by 6
$\frac{6x}{6}$ = $\frac{18}{6}$
Step 2: Simplify
x= 3
Now we check the proposed solution, 3, by replacing x with 3 in the original equation.
Step 1: the original equation 6x=18
Step2: Substitute 3 for x
6.3 = 18
Step 3: Solve 6.3=18
18 = 18
Since the check results in true statement, we conclude that the solution set of the given equation is {3}.