Question

resolver: a/x = c(a-b) + b/x

Answer 1

$a/x = c(a-b) + b/x$

$\frac{a}{x}x=c\left(a-b\right)x+\frac{b}{x}x$

Δ$Simplificar$Δ

$a=xc\left(a-b\right)+b$

$xc\left(a-b\right)+b=a$

$xc\left(a-b\right)+b-b=a-b$

$xc\left(a-b\right)=a-b$

$\mathrm{Dividir\:ambos\:lados\:entre\:}c\left(a-b\right);\quad \:a\ne \:b$

$\frac{xc\left(a-b\right)}{c\left(a-b\right)}=\frac{a}{c\left(a-b\right)}-\frac{b}{c\left(a-b\right)};\quad \:a\ne \:b$

$Simplificar$

$x=\frac{1}{c};\quad \:a\ne \:b$

ojala te sirva :´3

Saludos