Answer
{$\frac{5}{3}$}
Work Step by Step
10(3x + 2) = 70
Step 1 : Use distributive property
10.3x + 10.2 = 70
Step 2: Multiply 10.3x = 30x, 10.2 = 20
30x + 20 = 70
Step 1: subtract 20 from both the sides
30x + 20 - 20 = 70 - 20
Step 2: Simplify
30x = 50
Step 3: Divide both the sides by 30
$\frac{30x}{30}$ = $\frac{50}{30}$
Step 4: Simplify
x = $\frac{5}{3}$
Now we check the proposed solution, $\frac{5}{3}$, by replacing x with $\frac{5}{3}$ in the original equation.
Step 1: the original equation 10(3x + 2) = 70
Step2: Substitute $\frac{5}{3}$ for x
10(3.($\frac{5}{3}$) + 2) = 70
Step 3: Multiply 3, $\frac{5}{3}$= 5
10(5+2) = 70
Step 4: Solve parenthesis 5+2 = 7
10(7) =70
Step 5: Multiply 10.7 = 70
70 = 70
Since the check results in true statement, we conclude that the solution set of the given equation is {$\frac{5}{3}$}
