Question

 3. 2(x – 3) + 4(2x + 1) = 8 – 5(x – 4)​

Answer 1

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

                          $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\tt S = \bigg\{\frac{42}{19}\bigg\}\:\:\:}}\end{gathered} }$

Resolvendo equação do primeiro grau:

    $\Large\displaystyle\begin{gathered} 3\cdot2\cdot(x - 3) + 4\cdot(2x + 1) = 8 - 5\cdot(x - 4)\end{gathered}$

                          $\Large\displaystyle\begin{gathered} 6x - 18 + 8x + 4 = 8 - 5x + 20\end{gathered}$

                                   $\Large\displaystyle\begin{gathered} 6x + 8x + 5x = 8 + 20 + 18 - 4\end{gathered}$

                                                        $\Large\displaystyle\begin{gathered} 19x = 42\end{gathered}$

                                                             $\Large\displaystyle\begin{gathered} x = \frac{42}{19}\end{gathered}$

✅ Portanto, o conjunto solução é:

                                   $\Large\displaystyle\text{ \begin{gathered} S = \bigg\{\frac{42}{19}\bigg\}\end{gathered} }$

$\LARGE\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{\:\:\:Bons \:estudos!!\:\:\:Boa\: sorte!!\:\:\:}}}\end{gathered} }$

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