Question

resolva as equações: 3(x-2)=4(-x+2)​

Answer 1

$\large\sf{}3\left(x - 2\right) = 4\left( - x + 2\right) \\\large\sf{} 3x - 6 = 4\left( - x + 2\right) \\ \large\sf{}3x - 6 = - 4x + 8 \\ \large\sf{}3x - 6 + 4x = 8 \\ \large\sf{}3x + 4x = 8 + 6 \\ \large\sf{}7x = 8 + 6 \\\large\sf{} 7x = 14 \\ \large\sf{}7x \div 7 = 14 \div 7 \\ \large\sf{}x = 14 \div 7 \\ {\large\boxed{\boxed{  { \large \sf x = 2}}}}$

${\large\boxed{\boxed{  { \large \sf Bons~Estudos }}}}$

Answer 2

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

          $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf S = \{2\}\:\:\:}}\end{gathered} }$

Resolvendo equação do primeiro grau:

   $\Large \begin{aligned}3(x - 2) & = 4(-x + 2)\\3x - 6 & = -4x + 8\\3x + 4x & =8 + 6\\7x & =14\\x & =\frac{14}{7}\\x& = 2\end{aligned}$

✅ Portanto, o conjunto solução é:

                $\Large\displaystyle\begin{gathered} S = \{2\}\end{gathered}$

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

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