Answer:
x = 13
Step-by-step explanation:
Given 2 intersecting chords inside a circle.
The the product of the parts of one chord is equal to the product of the parts of the other chord, that is
18(2x - 5) = 14(2x + 1) ← distribute both sides
36x - 90 = 28x + 14 ( subtract 28x from both sides )
8x - 90 = 14 ( add 90 to both sides )
8x = 104 ( divide both sides by 8 )
x = 13
