[tex]1 - \frac{x+1}{3} = \frac{x}{2} \ \ /\cdot6\\\\6 - 2(x+1) = 3x\\\\6 - 2x - 2 = 3x\\\\-2x-3x + 4 = 0\\\\-5x = -4 \ \ /:(-5)\\\\x = \frac{4}{5}[/tex]