Solution
Using similar triangle
[tex]\begin{gathered} \frac{3x}{4x}=\frac{3x+7}{5x-8} \\ \\ \frac{3}{4}=\frac{3x+7}{5x-8} \\ \\ 3(5x-8)=4(3x+7) \\ \\ 15x-24=12x+28 \\ \\ 15x-12x=28+24 \\ \\ 3x=52 \\ \\ x=\frac{52}{3} \end{gathered}[/tex]
The answer is
