Question

solve the equation 1/2(x+1)+1/3(x-1)=3/6(x-2)​

Answer 1

$\frac{1}{2} (x + 1) \frac{1}{3} (x - 1) \frac{3}{6} (x - 2) \\ \\ (\frac{1x}{2} + \frac{1}{2} ) (\frac{1x}{3} - \frac{1}{3} ) (\frac{3x}{6} - \frac{3}{12} ) \\ \\ \frac{1x + 1}{2} - \frac{1x - 1}{3} - \frac{6x - 3}{12} \\ \\ \frac{6x + 6 - 4x + 4 - 6x - 3}{12} \\ \\ collect \: the \: like \: terms \: \\ \\ \frac{6x + 4x + 6x - 3 - 4 - 6}{12} \\ \\ \frac{16x - 13}{12} \\ \\ \frac{13x}{12}$

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