How do you solve #\frac { 9} { x ^ { 2} - 2x - 8} + \frac { x } { x + 2} = 2#? Algebra Linear Equations Multi-Step Equations with Like Terms 1 Answer Binayaka C. Jun 21, 2017 Solution: #x=5 or x=-5# Explanation: #9/(x^2-2x-8)+x/(x+2)=2# or #9/((x-4)(x+2))+x/(x+2)=2# . Multiplying by #(x-4)(x+2)# on both sides we get , #9+x(x-4)=2(x-4)(x+2)# or #9+x^2-cancel(4x)=2x^2-cancel(4x)-16# or #2x^2-x^2-16-9=0# or #x^2-25=0 or (x+5)(x-5)=0#. Either #x+5=0 :. x = -5# or #x-5=0 :. x = 5# Solution: #x=5 or x=-5# [Ans] Answer link Related questions How do you solve multi step equations by combining like terms? How do you solve multi step equation #w + w + 12 = 40#? How do you solve #3p + 4p + 37 = 79#? How do you solve for f: #f-1+2f+f-3=-4#? How do you combine like terms? How do you combine like terms for #-7mn-2mn^2-2mn + 8#? How do you combine like terms for #3x^2 + 21x + 5x + 10x^2#? What is a term? How do you solve #3v+5-7v+18=17#? How do you solve for x in #5x + 7x = 72#? See all questions in Multi-Step Equations with Like Terms Impact of this question 1171 views around the world You can reuse this answer Creative Commons License