Question 217821
2X+3/2X+5=5X+4/5X+2


{{{(2X + 3)/(2X + 5)=(5X + 4)/(5X + 2)}}}


(2x + 3)(5x + 2) = (2x + 5)(5x + 4) ----- Cross-multiplying


{{{10x^2 + 19x + 6 = 10x^2 + 33x + 20}}}


{{{10x^2-10x^2+19x - 33x = 20 - 6}}}


- 14x = 14


x  =  {{{14/-14}}} = {{{highlight_green(-1)}}}