`<=> (7+x)/(8-x) = 8/7`
`<=> 64 - 8x = 49 + 7x`
`<=> 15 = 15x`
`<=> x=1`
\(\Leftrightarrow14\left(7+x\right)=16\left(8-x\right)\)
\(\Leftrightarrow98+14x-128+16x=0\)
\(\Leftrightarrow30x=30\)
\(\Leftrightarrow x=1\)
`(7+x)/(8-x)=16/14`
`=> (7+x).14= (8-x).16`
`=> 98 + 14x= 128 - 16x`
`=> 98-128=-16x-14x`
`=> -30= -30x`
`=>x=1`