#### Answer

$ -5/6, 1/2$

#### Work Step by Step

For these kinds of problems, always always always cross multiply! Then you would get a new equation: (3-4x) * (2+3x) = (1+5x) * (1).
Solve this out to get: $(6+9x -8x-12x^{2}) = 1+5x.$ Simplify this to get: $(-12x^{2}+x+6) = 1+5x.$ Let's move everything to one side to get: $0= 12x^{2}+4x-5.$ Then factor this out, using any method you normally use. $(2x-1) (6x+5) =0$ and then set both equal to 0 to get x= -5/6 and 1/2.