How do you solve the rational equation $5/(-x-6)=2/x$ ?

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Answer 1 · 2016-02-15T12:41:33

$x=-12/7$

$color(blue)(5/(-x-6)=2/x$

Cross multiply $color(brown)(a/b=c/d,ad=bc$

$rarr5x=2(-x-6)$

Use distributive property $color(orange)(a(b+c)=ab+ac)$ :

$rarr5x=-2x-12$

Add $2x$ both sides:

$rarr5x+2x=-12$

$rarr7x=-12$

Divide $7$ both sides:

$rarr(7x)/7=-12/7$

$rarr(cancel7x)/cancel7=-12/7$

$rArrcolor(green)(x=-12/7$

How do you solve the rational equation 5/(-x-6)=2/x 5/(-x-6)=2/x ?