whats going on in this attachment help thanks xD

Ratio remains same
[tex]\\ \rm\Rrightarrow \dfrac{4}{6x-3}=\dfrac{3}{2}[/tex]
[tex]\\ \rm\Rrightarrow 8=3(6x-3)[/tex]
[tex]\\ \rm\Rrightarrow 8=18x-9[/tex]
[tex]\\ \rm\Rrightarrow 18x=17[/tex]
[tex]\\ \rm\Rrightarrow x=17/18[/tex]