Question

x+7 sobre 2 - x-7 sobre 2= 6x+1 sobre 7+4

Answer 1

Caso esteja pelo app, e tenha problemas para visualizar esta resposta, experimente abrir pelo navegador https://brainly.com.br/tarefa/8168871

                                             

$\sf\dfrac{x+7}{2}-\dfrac{x-7}{2}=\dfrac{6x+1}{7+4}\\\sf \dfrac{x+7}{2}-\dfrac{x-7}{2}=\dfrac{6x+1}{11}\\\underline{\rm multiplicando~a~igualdade~por~22~teremos:}\\\sf 22\cdot\dfrac{(x+7)}{2}-22\cdot\dfrac{(x-7)}{2}=22\cdot\dfrac{(6x+1)}{11}\\\sf 11\cdot(x+7)-11\cdot(x-7)=2\cdot(6x+1)\\\sf \diagdown\!\!\!\!\!11x+77-\diagdown\!\!\!\!\!\!11x+77=12x+2 \\\sf 12x+2=154\\\sf 12x=154-2\\\sf12x=152\\\sf x=\dfrac{152\div4}{12\div4}\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=\dfrac{38}{3}}}}}\blue{\checkmark}$