we are asked in this problem to determine the value of x from the expression given: 9+x/3x=5/6. we assume here that x is grouped with 9 otherwise, the expression would be invalid because x would be cancelled from the equation. So, we simplify
(9+x)/3x = 5/6we can cross multiply the terms to extract x eventually6*(9+x) = 3x*5we use associative property to multiply the terms54 + 6x = 15xwe then group the like terms54 = 15x - 6x = 9x54 = 9x we isolate x by dividing the whole equation by 9x =6The solution set of the problem then is equal to 6.