Question

solve the equation using any method. what is the value of x? solve for x. you can choose to show your work below or solve on paper. \\(\frac{\frac{5}{3}\left(x - \frac{9}{5}\
ight)}{\frac{5}{3}} = \frac{\frac{7}{}}{\frac{5}{3}}\\) \\(\square = \square\\) \\(x = \square\\)

Explanation:

Step1: Simplify both sides

Multiply both sides by $\frac{3}{5}$ to cancel the denominators:
$\frac{3}{5} \cdot \frac{\frac{5}{3}(x - \frac{9}{5})}{\frac{5}{3}} = \frac{3}{5} \cdot \frac{7}{\frac{5}{3}}$
Simplify to get: $x - \frac{9}{5} = \frac{21}{25}$

Step2: Solve for x

Add $\frac{9}{5}$ to both sides:
$x = \frac{21}{25} + \frac{9}{5}$
Convert $\frac{9}{5}$ to $\frac{45}{25}$:
$x = \frac{21}{25} + \frac{45}{25} = \frac{66}{25}$

Answer:

$\frac{66}{25}$