Question

solve 4/x-3= 5/2x+3​

Answer 1

4 = 5

_______ _________

x-3 2x+3

4(2x+3)=5(x-3)

8x+12=5x-15

8x-5x=-15-12

3x=-27

x=-27/3

x=-9

Answer 2

$\huge \underline{ \underline{ \bf \purple{Solution :}}}$

$\longrightarrow \: \sf \frac{4}{x - 3} = \frac{5}{2x + 3} \\ \\ \longrightarrow \: \sf4(2x + 3) = 5(x - 3) \\ \\ \longrightarrow \: \sf8x + 12 = 5x - 15 \\ \\ \longrightarrow \: \sf8x - 5x = - 15 - 12 \\ \\ \longrightarrow \: \sf3x = - 27 \\ \\ \longrightarrow \: \sf x = - \frac{27}{3} \\ \\ \longrightarrow \: \underline{ \boxed{\sf x = - 9}}$