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

2 Answers
Oct 4, 2015

Answer:

#x=-2/3#

Explanation:

#2/(x+6)=9/8-4/(x+6)#

#2/(x+6)-9/8+4/(x+6)=0#

#(2*8-9(x+6)+4*8)/(8(x+6))=0#

#(16-9x-54+32)/(8(x+6))=0#

#(-6-9x)/(8(x+6))=0#

#-6-9x=0 ^^ x+6 !=0#

#x=6/-9 ^^ x!=-6#

#x=-2/3#

Oct 4, 2015

Answer:

x = -0.66666

Explanation:

2 / (x + 6) = 9 / 8 − 4 / (x + 6)
Transport − 4 / (x + 6) to the left hand side. We get
2 / (x + 6) + 4 / (x + 6) = 9 / 8
or 6 / (x + 6) = 9 / 8
Cross multiplying,
8 * 6 = 9 * (x + 6)
or 8 * 6 / 9 = x + 6
ie x = 8 * 6 / 9 - 6 = 5.333 - 6