Answer: x= \(\frac{49}{6}\)
Step-by-step explanation:
Problem:
\(\frac{1}{5} x-\frac{1}{7} x=\frac{7}{15}\)
Step 1: Combine like terms
\(\frac{2}{35} x=\frac{7}{15}\)
Step 3: Divide for x
x =\(\frac{49}{6}\)
Now lets check
\(\frac{1}{5}(\frac{49}{6} )-\frac{1}{7}(\frac{49}{6})=\frac{7}{15}\)
\(\frac{7}{15} = \frac{7}{15}\)