Question

solve 1/2x-3+1/x-5=1​

Answer 1

1/2x-3 +1/x-5 = 1

1 × x-5 / 2x-3 × x-5 + 1×2x-3 / x-5 × 2x-3 =1

x-5/2x^2-10x-3x+15 + 2x-3/3x^2-3x-10x+15 =1

(x-5 + 2x-3)/2x^2-13x+15=1

3x-8 = 2x^2 -13x +15

3x-8 = 2x^2 -10x-3x +15

3x-8 = 2x(x-5) -3(x-5)

3x-8 = (2x-3)(x-5)