a)
[tex] \frac{5}{2x + 1} = \frac{3}{x} \\ 5x = 3(2x + 1) \\ 5x = 6x + 3 \\ - x = 3 \\ x = - 3[/tex]
b)
[tex] \frac{x - 1}{15} = \frac{3}{10} \\ 45 = 10(x - 1) \\ 45 = 10x - 10 \\ 55 = 10x \\ x = 5.5[/tex]
c)
[tex] \frac{6}{1 - x} = \frac{3}{x} \\ 6x = 3(1 - x) \\ 6x = 3 - 3x \\ 9x = 3 \\ x = \frac{3}{9} = \frac{1}{3} [/tex]
d)
[tex] \frac{x + 2}{2} = \frac{x - 2}{3} \\ 2(x - 2) = 3(x + 2) \\ 2x - 4 = 3x + 6 \\ - x = 10 \\ x = - 10[/tex]
