How do you solve n/(7-n)+3/5=1? Algebra Linear Equations Multi-Step Equations with Like Terms 1 Answer Dan Kemp Apr 17, 2018 n = 2 Explanation: n/(7-n) + 3/5 = 1 n/(7-n) + color(red)(cancel(color(black)(3/5) -3/5)) = 1 color(red)(-3/5) n/(7-n) = 5/5 - 3/5 n/(7-n) = 2/5 We can cross multiply here. n xx 5 = 2 xx (7-n) 5n color(red)( +2n)= 14 color(red)(cancel(color(black)(-2n) +2n)) (color(red)(cancel(7))n)/color(red)(cancel(7)) = 14/color(red)(7) color(blue)(n = 2) 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 1765 views around the world You can reuse this answer Creative Commons License