The value of x is 9.
Given:
The length of the tangent lines are given as, 5x and 7x-18.
The objective is to find the value of x.
The two tangents of a circle drawn from a point outside a circle will always be equal.
Then, the value of x can be solved by,
[tex]\begin{gathered} 5x=7x-18 \\ 5x-7x=-18 \\ -2x=-18 \\ x=-\frac{18}{-2} \\ x=9 \end{gathered}[/tex]
Hence, the value of x is 9.
