Solve by factorization: `1/(x-1)-1/(x+5)=6/7,\ \ x!=1,\ -5`

Solve by factorization: (x+1)/(x-1)-(x-1)/(x+1)=5/6,\ \ x!=1,\ -1

Solve by factorization: 1/(x+4)-1/(x-7)=(11)/(30),\ \ x!=4,\ 7

Solve by factorization: (x+1)/(x-1)-(x-1)/(x+1)=(5)/(6),x!=1,-1

Solve by factorization: (x-1)/(2x+1)+(2x+1)/(x-1)=5/2,\ \ x!=-1/2,\ 1

Solve by factorization: (1)/(x+4)-(1)/(x-7)=(11)/(30),x!=4,7

Solve by factorization: (x-1)/(2x+1)+(2x+1)/(x-1)=(5)/(2),quad x!=-(1)/(2),1

Solve the quadratic equation by factorisation: 3((7x+1)/(5x-3))-4((5x-3)/(7x+1))=11 x != 3//5, x != 1//7

Solve each of the following quadratic equations: (i) (1)/(x-1)-(1)/(x+5)=(6)/(7),xne1,-5 (ii) (1)/(2x-3)+(1)/(x-5)=1(1)/(9),xne(3)/(2),5

Solve: (1)/(3)x-(5)/(2)=6