Question

alguien me dice como hacer la ecuacion lo necesito cuando antes gracias
3(x+9)=3(2x-7)​

Answer 1

El ejercicio a resolver es:

$\huge \boxed{\sf{3(x+9)=3(2x-7)}}$

Ahora procedemos a desarrollar:

$\large\displaystyle\begin{gathered}\sf Simplificar \ ambos \ lados \ de \ la \ ecuacion. \end{gathered}$

$\large\displaystyle\begin{gathered}\sf 3(x+9)=3(2x-7) \end{gathered}$

$\large\displaystyle\begin{gathered}\sf (3)(x)+(3)(9)=(3)(2x)+(3)(-7) \ \to(Distribuir) \end{gathered}$

$\large\displaystyle\begin{gathered}\sf 3x+27=6x+-21 \end{gathered}$

$\large\displaystyle\begin{gathered}\sf 3x+27=6x-21 \end{gathered}$

$\large\displaystyle\begin{gathered}\sf 3x+27-\red{6x}=6x-21-\red{6x} \ \to \ \ Restar \ 6x \ de \ ambos \ lados.\end{gathered}$

$\large\displaystyle\begin{gathered}\sf -3x+27=-21 \end{gathered}$

$\large\displaystyle\begin{gathered}\sf -3x+27-\red{27}=-21-\red{27} \ \to \ \ Restar \ 27 \ de \ ambos \ lados. \end{gathered}$

$\large\displaystyle\begin{gathered}\sf -3x=-48 \end{gathered}$

$\large\displaystyle\text{ \begin{gathered}\sf \dfrac{-3x}{\red{-3}}=\dfrac{-48}{\red{-3}} \end{gathered} }$

$\large\displaystyle\begin{gathered}\sf \red{x=16} \ \ \red{\Rightarrow} \ \red{Respuesta}\end{gathered}$

↓

$\boldsymbol{\mathsf{Comprobacion:}}$

$\large\displaystyle\begin{gathered}\sf 3(x+9)=3(2x-7) \end{gathered}$

$\large\displaystyle\begin{gathered}\sf 3\times(16+9)=3x(2\times116-7) \end{gathered}$

$\underline{\pmb{Se \ cumple \ la \ igualdad.}}$

$\large\displaystyle\begin{gathered}\sf \underline{Saludos \ Estivie} \end{gathered}$