The median of a trapezoid is given by the formula
[tex]\frac{\text{length of first base + length of the other base}}{2}[/tex]
Hence,
[tex]\begin{gathered} 24\text{ = }\frac{2x-5\text{ +}4x\text{ + 5}}{2} \\ 24=\frac{2x+4x-5+5}{2} \\ 24=\frac{6x}{2} \\ 6x=48 \\ x=\frac{48}{6} \\ x=8 \end{gathered}[/tex]
