Solve for x; 1/x-3 - 1/x+5=1/6 , x is not equal to 3,-5

**1/x-3 - 1/x+5 =1/**6

taki**ng LCM **

**x+5-(x-3) whole divided by (x-3)(x+5)**=1**/6**

**x+5-x+3 whole divided by x ^{2}+5x-3x-15=1/6**

**8/x ^{2} +2x-15=1/6**

**BY cross multiplication:**

**x ^{2}+2x-15=48**

**=> x ^{2}+2x -15-48=0**

**=> x ^{2}+2x-63=0**

**=> x ^{2}+9x-7x-63= 0**

**=> x(x+9)-7(x+9)=0**

**=>(x+9)(x-7)= 0**

=>**x+9=0 => x=-9**

**x-7=0 => x=7**

**hence x= 7 or -9**

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