How do you solve $5/(2x-3)=3/(x+5)$ ?

Question

1513 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-27T07:53:18

$x=34$

Solve $5/(2x-3)=3/(x+5)$

Begin by cross multiplying.

$5(x+5)=3(2x-3)$

Expand each side using the distributive property, $a(b+c)=ab+ac$ .

$5x+25=6x-9$

Add $9$ to both sides.

$5x+25+9=6x$

$5x+34=6x$

Subtract $5x$ from both sides.

$34=6x-5x$

$34=x$

Switch sides.

$x=34$

How do you solve 5/(2x-3)=3/(x+5)5/(2x-3)=3/(x+5)?