Answer: 27/14
Step-by-step explanation:
(x+2)/x +(x-6)/3x = (2x+9)/5x
(3x+6)/3x + (x-6)/3x = (2x+9)/5x First term: [(x+2)/x]*(3/3) = (3x+6)/3x
(4x)/3x = (2x+9)/5x Combine (3x+6)/3x + (x-6)/3x [=(4x)/3x]
(4/3)*5x = 2x + 9 [(4x)/3x = 4/3] and multiply both sides by 5x
(20/3)x - 9 = 2x [(4/3)*5x] = (20/3)x; Subtract 9 from both sides
20x - 27 = 6x Multiply both sides by 3
14x = 27 Simplify
x = 27/14 And solve
