Question

solve:
6x+4 3x+2
----- = ------
4x-3 2x+5

or, if this makes it easier to read

(6x+4) / (4x-3) = (3x+2) / (2x+5)

Answer 1

Cross multiply both sides, so you get
\[(2x+5)(6x+4)=(3x+2)(4x-3)\]
and then distribute
\[12x^2+38x+20=12x^2-x-6\]
move everything to one side
\[39x+26=0\]
and \[x=-26\div(39)\]
Q.E.D