Answer :

Answer: x= [tex]\frac{49}{6}[/tex]

Step-by-step explanation:

Problem:

[tex]\frac{1}{5} x-\frac{1}{7} x=\frac{7}{15}[/tex]

Step 1: Combine like terms

[tex]\frac{2}{35} x=\frac{7}{15}[/tex]

Step 3: Divide for x

x =[tex]\frac{49}{6}[/tex]

Now lets check

[tex]\frac{1}{5}(\frac{49}{6} )-\frac{1}{7}(\frac{49}{6})=\frac{7}{15}[/tex]

[tex]\frac{7}{15} = \frac{7}{15}[/tex]