Answer:
x = 3
Step-by-step explanation:
[tex]In\: \triangle PQT,\: \overline{PQ}|| \overline {RS}...(Given)\\\\\implies\frac{PS}{ST}=\frac{QR}{RT}\\(By\: Proportionality\: Theorem) \\ \\\implies\frac{2x+4}{5}=\frac{3x+5}{7}\\\\ \implies \: 7(2x + 4) = 5(3x + 5) \\ \\ \implies \:14x + 28 = 15x + 25 \\ \\ 14x - 15x = 25 - 28 \\ \\ - x = - 3 \\ \\ x = 3[/tex]
