What’s a proportion that includes distribution with an answer of 5

Answer 1

x+1 3x-1

------ = -------------

3 x+2

(x+1)(x+2) = 3(3x-1) <--- cross mutiplies

x^2 + 2x + x + 2 = 9x-3 <--- FOILs left side; DISTRIBUTIVE on the right!!!

x^2 + 3x + 2 = 9x - 3 <--- combines like terms

x^2 + 3x + 2 - 9x +3 = 0 <--- moves everything to left side

x^2 - 6x + 5 = 0

(x-5)(x-1) = 0

x-5 = 0 or x-1 = 0

x=5 or x=1

check

x=5:

left side: (5+1)/3 = 6/3 = 2

right side: (3(5)-1 )/(5+2) = (15-1)/(5+2) = 14/7 = 2

YES , 5 is a solution !!!

x=1: left side is 2/3; right side is also 2/3

check is left for you

Answer 2

3(x+1)/2 = 27/3