Answer: x = 7
Solution: Let's build up our equation from the information.
Let x be the number.
[tex]LHS = 2x[/tex]
[tex]2x + 1[/tex]
[tex]\frac{2x + 1}{3}[/tex]
Thus, the left hand side becomes:
[tex]\frac{2x + 1}{3} + 2[/tex]
Now, the right hand side is just the number we're thinking of (ie x)
So, this equality becomes: [tex]\frac{2x + 1}{3} + 2 = x[/tex]
[tex]\frac{2x + 1}{3} = x - 2[/tex]
[tex]2x + 1 = 3(x - 2) = 3x - 6[/tex]
[tex]2x - 3x = -6 - 1[/tex]
[tex]-x = -7; x = 7[/tex]
