By similarity theorem,
[tex]\begin{gathered} \frac{TV}{TS}=\frac{UV}{SR} \\ \text{but let SV=y} \\ \frac{6}{6+y}=\frac{4}{12} \\ \text{cross multiply to get} \\ 4(6+y)=6\times12 \\ 24+4y=72_{} \\ 4y=72-24 \\ 4y=48 \\ y=\frac{48}{4} \\ y=12 \\ So,\text{ X=SV+VT} \\ X=12+6 \\ X=18 \end{gathered}[/tex]
The value of X is 18.
