Question

Solve each of the the following equations ::
x-6/6+x-3/3=x-4/4+x-5/5

Answer 1

LHS

x-6/6+x-3/3

(x-6)3 + (x-3)6/(6)(3)

3x-18+6x-18/18

9x-36/18

RHS

x-4/4+x-5/5

(x-4)5 + (x-5)4/4×5

5x-20+4x-20/20

9x-40/20

LHS=RHS

9x-36/18=9x-40/20

(9x-36)20 = (9x-40)18

180x-720=162x-740

180x-162x=-740+720

18x = -20

x= -10/9