Solve:

$\displaystyle

\frac{3}{4} - \frac{x + 1}{12} = \frac{2}{3} - \frac{x - 1}{6}

$

Multiplying by 12 you get:

9 - x + 1 = 8 - 2(x - 1)

10 - x = 8 - 2x + 2

10 - x = 10 - 2x

10 + x = 10

Therefore x = 0

The answer says x = 2, I don't know where I went wrong.