[tex]\large\underline{\sf{Solution-}}[/tex]
[tex]\textsf{Given expression:}\\[/tex]
[tex] \rm{ \frac{3x - 1}{5} = \frac{2x + 3}{7} } \\ [/tex]
[tex]\textsf{By, doing cross multiplication, we get}\\[/tex]
[tex] \rm\longmapsto \:7(3x - 1) = 5(2x + 3) \\ [/tex]
[tex] \rm\longmapsto \:21x - 7 = 10x + 15 \\ [/tex]
[tex] \rm\longmapsto \:21x - 10x = 15 + 7 \\ [/tex]
[tex] \rm\longmapsto \:11x = 8 \\ [/tex]
[tex] \rm\therefore \:x = \frac{8}{11} . \\ [/tex]
[tex]\textsf{Hence, the value of x will be $\frac{8}{11}$ respectively.}\\[/tex]
