Let the number be represented by x. Then we have:
2/3 + 5x = 6x - 5/6
To solve for x, we need to isolate it on one side of the equation. First, we can simplify both sides by getting rid of the fractions:
12/18 + 30x/6 = 36x/6 - 5/6
4/6 + 5x = 6x - 5/6
Next, we can combine like terms by bringing all the x terms to one side and all the constant terms to the other:
5x - 6x = -5/6 - 4/6
-x = -1
Finally, we can solve for x by dividing both sides by -1:
x = 1
Therefore, the number we're looking for is 1.