Question

Solve 3/x+2 - 1/x = 1/5x. Show your work.

Answer 1

$\frac{3}{x+2} - \frac{1}{x} = \frac{1}{5x}$

$\frac{(3*x)-(1*(x+2))}{(x+2)*x} = \frac{1}{5x}$

$(3x - x - 2 )5 = \frac{x(x+2)}{x}$

$(2x-2)5 = x+2$

$10x - 10 = x + 2$

$10x - x = 2 + 10$

$9x = 12$

$x = \frac{12}{9} = \frac{4}{3}$  = 1.3333333333333 ≈ 1.3

Answer 2

( 3x - x -2) / x (x + 2) = 1/5x (2x - 2) / x(x +2) = 1/5x 2x - 2 = (x + 2) / 5 10x - 10 = x + 2  9x = 12 x = 12/9 x = 4/3