Question

10 PUNTASHOS
$\frac{\frac{3x}{5}\frac{12}{1} }{x+1} =6$

Answer 1

[(3x/5)(12/1)]/(x + 1) = 6

36x/5 = 6x + 6

36x = 30x + 30

6x = 30

x = 5

Answer 2

$\frac{\frac{3x}{5}\cdot \frac{12}{1}}{x+1}=6\\\\\frac{12\cdot \frac{3x}{5}}{x+1}\\\\\frac{\frac{36x}{5}}{x+1}$

Aplicamos la propiedad de fracciones: $\frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}$

$\frac{36x}{5\left(x+1\right)}$

Pasamos el $5\left(x+1\right)$ multiplicando:

$36x=6\cdot \:5\left(x+1\right)\\\\36x=30\left(x+1\right)\\\\36x=30x+30\\\\36x-30x=30\\\\6x=30\\\\x=\frac{30}{6}$

Resultado:

$x=5$