Question 156176
{{{5/(2x-3)=3/(x+5)}}} // *(2x-3)(x+5) - getting rid of x's in the denominator
{{{5x+25 = 6x-9}}} // -5x
{{{25 = x - 9}}} // +9
{{{34 = x}}}
{{{x = 34}}}
let's verify our solution:
{{{5/(2*34-3)=3/(34+5)}}}
{{{5/65 = 3/39}}}

{{{5/65}}} // :5
{{{1/13}}}

{{{3/39}}} // :3
{{{1/13}}}

Cheers,
Adam