Question

Resolva as equaçoes
3(x/2-1)=x/3+2

Answer 1

   Pelo procedimento convencional
 
               $3( \frac{x}{2} -1)= \frac{x}{3} +2 \\ \\ \frac{3x}{2} -3= \frac{x}{3} +2 \\ \\ \frac{3x}{2} - \frac{x}{3} =2+3 \\ \\ \frac{3.3x-2.x}{6} =5 \\ \\ 9x-2x=5.6 \\ \\ 7x=30 \\ \\ x= \frac{30}{7}$

Answer 2

$3( \dfrac{x}{2} -1)= \dfrac{x}{3} +2\to \\\\\\ \dfrac{3x}{2} -3=\dfrac{x}{3} +2\to ~~mmc=6\\\\\\ 9x-18=2x+12\to \\\\\\ 9x-2x=12+18\to \\\\\\ 7x=30\to\\\\\\ \boxed{ x= \dfrac{30}{7} }$