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|dw:1357236456605:dw|

It looks more like an orthocenter, but for the sake of it, let's say it is a centroid.

\[ x + 5 = 2x - 1\]\[5 + x - 2x = 2x - 2x - 1\]\[5 - x = -1\]

Subtract five from both sides.
\[-x = -1 - 5\]\[-x = -6\]

\[x = 6\]

Now I can plug in the missing numbers.
\[6 + 5 = 2(6) - 1\]\[11 = 12 - 1\]\[= 11\]

\[5 - 3x = -2\]\[-3x = -2 - 5\]\[-3x = -7\]

\[x = \frac{ -7 }{ -3 }\]

That looks good to me. You can simplify that to \(\dfrac{7}{3}\) if you want.

You're welcome.

@KingGeorge
The answer was really 11. Guess I should have trusted my gut, ha.

Oops :( I guess that would be my fault.