How do you solve #(5x)/(x-1)+5=15/(x-1)#?

2 Answers
Sep 29, 2016

Answer:

#x=color(green)(2)#

Explanation:

Given
#color(white)("XXX")(5x)/(x-1)+5 = 15/(x-1)#

Multiply both sides by #(x-1)#
#color(white)("XXX")5x+5x-5 =15#

#color(white)("XXX")rarr 10x =20#

#color(white)("XXX")rarr x=2#

Sep 29, 2016

Answer:

I found: #x=2#

Explanation:

We can choose #x-1# as common denominator and write:
#(5x+5(color(red)(x-1)))/(x-1)=15/(x-1)#
Cancel the 2 denominators and rearrange:
#5x+5x-5=15#
#10x=20#
#x=20/10=2#