Answer
{$\frac{7}{5}$}
Work Step by Step
9(5x -2) = 45
Step 1 : Use distributive property
9.(5x) - 9.2 =45
Step 2: Multiply 9.(5x) =45x , 9.2 = 1
45x - 18 = 45
Step 1: Add 18 on both the sides
45x - 18 + 18 = 45 + 18
Step 2: Simplify
45x = 63
Step 3: Divide both the sides by 45
$\frac{45x}{45}$ = $\frac{63}{45}$
Step 4: Simplify
x = $\frac{7}{5}$
Now we check the proposed solution, $\frac{7}{5}$, by replacing x with $\frac{7}{5}$ in the original equation.
Step 1: the original equation 9(5x-2) = 45
Step2: Substitute $\frac{7}{5}$ for x
9(5($\frac{7}{5}$) -2) = 45
Step 3: Multiply 5($\frac{7}{5}$) = 7
9(7 -2) = 45
Step 4: Solve parenthesis 7-2 = 5
9(5) =54
Step 5: Multiply 9(5) = 45
45 = 45
Since the check results in true statement, we conclude that the solution set of the given equation is {$\frac{7}{5}$}
