Answer :
We have to solve the equation:
[tex]\frac{x}{2}+\frac{2x}{3}=5[/tex]We can solve this by looking for a common denominator for the terms that have x. In this case, the common denominator is 6, so we can solve this as:
[tex]\begin{gathered} \frac{x}{2}+\frac{2x}{3}=5 \\ \frac{x}{2}\cdot\frac{3}{3}+\frac{2x}{3}\cdot\frac{2}{2}=5 \\ \frac{3x}{6}+\frac{4x}{6}=5 \\ \frac{3x+4x}{6}=5 \\ \frac{7x}{6}=5 \\ x=5\cdot\frac{6}{7} \\ x=\frac{30}{7} \end{gathered}[/tex]Answer: the solution is x = 30/7