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

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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#