`e)` `(-7)/(1+2x)=(5)/(2-3x)`
`<=> -7(2-3x)=5(1+2x)`
`<=> -14+21x=5+10x`
`<=> 21x-10x=5+14`
`<=> 11x=19`
`<=> x = (19)/(11)`
\
`f)8.3^x-3^(x+1)=2^(3).3^2+567.3^(-2)`
`<=>8.3^x-3^x.3=8.9+567.(1)/3^(2)`
`<=>5.3^x=72+567.(1)/9`
`<=>5.3^x=72+63=135`
`<=>3^x=72+63=135:5=27=3^3`
`<=>x=3`