Answer
$x = -2$ or $x = 5$
Work Step by Step
$x - \frac{14}{x - 1}$ = $4 - \frac{2x}{x - 1}$
$\frac{x(x - 1) - 14}{(x - 1)}$ = $\frac{4(x - 1) - 2x}{(x - 1)}$
Hence,
$x(x - 1) - 14$ = $4(x - 1) - 2x$
$x^2 - x -14 = 4x - 4 - 2x$
$x^2 - 3x - 10 = 0$
$(x + 2)(x - 5) = 0$
$x = -2$ or $x = 5$
