Question

3 (x-2) = 4 (- x+ 3) equação

Answer 1

✅ Após resolver a equação do primeiro grau, concluímos que seu conjunto solução é:

        $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf S = \bigg\{\frac{18}{7}\bigg\}\:\:\:}}\end{gathered} }$

Resolvendo equação do primeiro grau:

    $\Large\displaystyle\begin{gathered} 3(x - 2) = 4(-x + 3)\end{gathered}$

        $\Large\displaystyle\begin{gathered} 3x - 6 = -4x + 12\end{gathered}$  

     $\Large\displaystyle\begin{gathered} 3x + 4x = 12 + 6\end{gathered}$

                 $\Large\displaystyle\begin{gathered} 7x = 18\end{gathered}$

                   $\Large\displaystyle\begin{gathered} x = \frac{18}{7}\end{gathered}$

✅ Portanto, o conjunto solução é:

                  $\Large\displaystyle\text{ \begin{gathered} S = \bigg\{\frac{18}{7}\bigg\}\end{gathered} }$

 

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Answer 2

$\sf3(x-2)=4(-x+3)$

$\sf3x-6=-4x+12$

$\sf3x+4x=12+6$

$\sf7x=18$

$\boxed{\boxed{\sf x=\dfrac{18}{7}}}$