We need to isolate x in order to find x. However, we need to have common denominators first.
[tex] \frac{5x}{30}- \frac{6}{30} = \frac{7}{30} [/tex]
[tex] \frac{5x}{30}= \frac{13}{30} [/tex]
Multiply by 30 on both sides.
[tex]5x=13[/tex]
Divide by 5 on both sides to isolate x.
[tex]x= \frac{13}{5} [/tex]