How do you simplify #(-2)/5 = 2/(x-5)#?

Question

888 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-24T19:37:49

#x=0#

Because this is a proportion, you are going to cross multiply

Multiply #-2# by #x-5#

#-2(x-5)#

Distribute the #-2#

#-2x+10#

Multiply #5# by #2#

#5xx2=10#

Combining these gives:

#-2x+10=10#

Begin to isolate #x# by subtracting #10# on both sides of the equation

#-2x=0#

Divide both sides of the equation by #-2#

#x=0#