Answer:
7.2222...
Step-by-step explanation:
Well first, to make it easier, remove the fractions by multiplying both sides by the LCM (or 65 in this case).
Thus, we will have:
[tex]65(\frac{4x}{5}+2)=65(\frac{5x}{13}+5)[/tex]
[tex]65(\frac{4x}{5})+65(2)=65(\frac{5x}{13})+65(5)[/tex]
[tex]52x+130=25x+325[/tex]
Now, simply isolate the [tex]x[/tex].
[tex]52x=25x+195[/tex]
[tex]27x=195[/tex]
[tex]x=7.2222...[/tex] or [tex]\frac{65}{9}[/tex]
