Question

solve for x.
\\(\frac{4}{3}x - \frac{1}{2} = -\frac{1}{5}\\)
simplify your answer as much as possible.
\\(x = \square\\)

Explanation:

Step1: Add \(\frac{1}{2}\) to both sides

\(\frac{4}{3}x - \frac{1}{2}+\frac{1}{2}=-\frac{1}{5}+\frac{1}{2}\)
Simplify both sides: \(\frac{4}{3}x=\frac{-2 + 5}{10}=\frac{3}{10}\)

Step2: Multiply both sides by \(\frac{3}{4}\)

\(x=\frac{3}{10}\times\frac{3}{4}\)
Calculate the product: \(x = \frac{9}{40}\)

Answer:

\(\frac{9}{40}\)