Solve for x in the picture please

Answer:
The value of x is 4
Step-by-step explanation:
we know that
The Intersecting Secants Theorem states that When two secant lines intersect each other outside a circle, the products of their segments are equal
so
[tex](x-1+5)(5)=(x+2+4)(4)\\ (x+4)5=(x+6)4\\5x+20=4x+24\\5x-4x=24-20\\x=4[/tex]