How do you solve #2/(x +6) = 9/8 - 4/(x+6)#?

1 Answer
Jan 2, 2016

Answer:

#x=-2/3#

Explanation:

Original solution
Place on a common denominator and solve the resulting linear equation.
#16/(8x + 48)# = #(9x + 54)/ (8x + 48)# - #32/(8x + 48)#

16 - 54 + 32 = 9x

-6 = 9x

#-2/3# = x

Simplier solution
#2/(x+6)=9/8-4/(x+6)#
#2/(x+6)+4/(x+6)=9/8#
#6/(x+6)=9/8#
Multiply both sides by #(x+6)# and divide by #9/8#
#6*8/9=x+6#
#x=(2*8)/3-6=16/3-6=5 1/3-6=-2/3#
The solution is #-2/3#.