#### Answer

{18}

#### Work Step by Step

$\frac{2x}{3}$ - 5 =7
Step 1 : Multiply both the sides by 3
($\frac{2x}{3}$ - 5 ).3=7.3
Solve
$\frac{2x}{3}$ .3 - 5.3 =21
2x -15 = 21
Step 2 : Collect variable terms on one side and constants on the other side.
add 15 on both the sides
2x -15 + 15 = 21 + 15
2x = 36
Step 3: Divide both the sides by 2
$\frac{2x}{2}$ = $\frac{36}{2}$
x = 18
Now we check the proposed solution, 18 , by replacing x with 18 in the original equation.
Step 1: the original equation $\frac{2x}{3}$ - 5 =7
Step2: Substitute 18 for x
$\frac{2. 18}{3}$ - 5 =7
Step 3: Simplify
$\frac{36}{3}$ - 5 =7
Step 4 : Divide $\frac{36}{3}$ = 12
12 -5 = 7
Solve
7 = 7
Since the check results in true statement, we conclude that the solution set of the given equation is {18}