Question

solve the equation x+1/x-1=2x+3/2x-5

Answer 1

hope it will be helpful for you..

Answer 2

Given,

$\frac{x+1}{x-1} = \frac{2x+3}{2x-5}$

To find,

Solve the equation.

Solution,

The equation is $\frac{x+1}{x-1} = \frac{2x+3}{2x-5}$

Let's do the criss-cross multiplication for the above equation.

After the multiplication, we get

$(x+1)(2x-5) = (2x+3)(x-1)$

$2x^{2} -5x+2x-5 = 2x^{2} -2x+3x-3$

$2x^{2} -3x-5=2x^{2}+x-3$

Now, solve this further.

Let's cancel out $2x^{2}$ on both sides.

$-3x-5=x-3$

Now, transfer all the x terms towards the left.

$-4x = 2\\x = -\frac{1}{2}$

Hence, the value of x after solving the equation is $-\frac{1}{2}$