Question

11+3x-5+2x=3-x-9

Porfaaa

Answer 1

Simplificar ambos lados de la ecuación.

$\bf{11+3x-5+2x=3-x-9}$

$\bf{11+3x+-5+2x=3+-x+-9}$

$\bf{(\blue{3x}+\blue{2x}+(\green{11}+\green{-5})=(\blue{-x})+(\green{3}+\green{-9}) } \to \bf{(combinar \ terminos \ semejantes)}$

$\bf{\blue{5x}+\green{6}=\blue{-x}+\green{-6} }$

$\bf{5x+6=-x-6}$

$\bf{5x+6+\blue{x}=-x-6+\blue{x} \ \to \ Sumar \ \red{x} \ a \ ambos \ lados.}$

$\bf{6x+6=-6}$

$\bf{6x+6-\blue{6}=-6-\blue{6} \ \to \ Restar \ \red{6} \ de \ ambos \ lados. }$

$\bf{6x=-12}$

$\bf{\dfrac{6x}{\blue{6}}=\dfrac{-12}{\blue{6}} }$

$\bf{\red{x=-2 \ \to \ \ Respuesta}}$

↓

Comprobacion:

$11+3x-5+2x=3-x-9$

$\bf{11+3\times-2-5+2\times-2=3+2-9}$

$\bf{11-6-5+2\times-2=3+2-9}$

$\bf{11-6-5-4=3+2-9}$

$\bf{5-5-4=3+2-9}$

$\bf{0-4=3+2-9}$

$\bf{-4=3+2-9}$

$\bf{-4=5-9}$

$\bf{-4=-4}$

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

Saludos Estivie