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Sagot :
In order to solve this equation for x, first let's convert the mixed numbers into improper fractions:
[tex]\begin{gathered} -1\frac{7}{9}=-(1+\frac{7}{9})=-(\frac{9}{9}+\frac{7}{9})=-\frac{16}{9} \\ -2\frac{5}{6}=-(2+\frac{5}{6})=-(\frac{12}{6}+\frac{5}{6})=-\frac{17}{6} \end{gathered}[/tex]Now, solving the equation for x, we have:
[tex]\begin{gathered} -\frac{16}{9}=-\frac{17}{6}+\frac{x}{3} \\ -\frac{32}{18}=-\frac{51}{18}+\frac{6x}{18} \\ -32=-51+6x \\ 6x=-32+51 \\ 6x=19 \\ x=\frac{19}{6} \end{gathered}[/tex]Therefore the value of x is 19/6.
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