9. Five mark exercise problems I

In \(\Delta ABC\), \(D\) and \(E\) are points on the sides \(AB\) and \(AC\) respectively such that \(DE || BC\) if \(AD = 8x - 7\), \(DB = 5x - 3\), \(AE = 4x - 3\) and \(EC = 3x - 1\), find the value of \(x\).

 

Answer:

 

The value of \(x\) \(=\)  units