Question

$\frac{x + 1}{3} - \frac{5x - 15}{24} = 1$ como puedo resolverlo
​

Answer 1

Respuesta:

$\boxed{\bold{\frac{x+1}{3}-\frac{5x-15}{24}=1}}$

(MCM) de 3-24

$3=3$

$24 = 2\cdot2\cdot2\cdot3$

$\frac{x+1}{3}\cdot \:24-\frac{5x-15}{24}\cdot \:24=1\cdot \:24$

Simplificamos

$\frac{x+1}{3}\cdot \:24=8\left(x+1\right)$

$-\frac{5x-15}{24}\cdot \:24=-\left(5x-15\right)$

$1\cdot \:24=24$

$8\left(x+1\right)-\left(5x-15\right)=24$

Resolver

$8\left(x+1\right)-\left(5x-15\right)=3x+23$

$3x+23=24$

$3x=24-23$

$3x=1$

Solución

$\frac{1}{3}=\frac{1}{3}$

$\boxed{x=\frac{1}{3}}$