-------------------------------------------------------------------------------- Rewrite the right to the left -------------------------------------------------------------------------------- [tex] x + \frac{7}{6} = \frac{2}{3}x - \frac{1}{2}[/tex]
-------------------------------------------------------------------------------- Take away 2/3x from both sides -------------------------------------------------------------------------------- [tex] x + \frac{7}{6} - \frac{2}{3}x= \frac{2}{3}x - \frac{1}{2} - \frac{2}{3}x[/tex] [tex] x - \frac{2}{3}x + \frac{7}{6}= \frac{2}{3}x - \frac{2}{3}x - \frac{1}{2}[/tex] [tex] \frac{7}{6} + \frac{1}{3}x= - \frac{1}{2} [/tex]
-------------------------------------------------------------------------------- Change the denominator to be the same and minus -------------------------------------------------------------------------------- [tex] \frac{1}{3}x = - \frac{3}{6} - \frac{7}{6} [/tex] [tex] \frac{1}{3}x = - \frac{10}{6} [/tex]
-------------------------------------------------------------------------------- Multiply by 6 on both sides -------------------------------------------------------------------------------- [tex]2x= -10[/tex]
-------------------------------------------------------------------------------- Divide by 2 both sides -------------------------------------------------------------------------------- [tex]x = -5[/tex]
-------------------------------------------------------------------------------- Answer : x = -5 --------------------------------------------------------------------------------