How do you solve $\frac{2}{x - 6} + 6 = \frac{x}{x - 6}$ $2/(x-6)+6= x/(x-6)$ ?

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Answer 1 · 2018-03-20T08:11:57

$x = \frac{34}{5}$ $x=34/5$

$\frac{2}{x - 6} + 6 = \frac{x}{x - 6}$ $2/(x-6) + 6 = x/(x-6)$

$=> (2+6(x-6))/color(red)cancel(color(black)(x-6)) = x/color(red)cancel(color(black)(x-6))$

$=> 2+6x-36 = x$

$=> 6x-x-36+2=0$

$=> 5x=34$

$=> x=34/5$

How do you solve 2/(x-6)+6= x/(x-6)2x−6+6=xx−6 2/(x-6)+6= x/(x-6)?