Question

x+24/5=4+x/4 solve this equation​

Answer 1

the answer iwill be x=76

Answer 2

$\frac{x}{1}+\frac{24}{5}\:=\:\frac{4}{1}+\frac{x}{4}$

$\Longrightarrow\frac{x\times5}{5}+\frac{24}{5}\:=\:\frac{4\times4}{4}+\frac{x}{4}$ {LCM}

$\Longrightarrow\frac{5x}{5}+\frac{24}{5}\:=\:\frac{16}{4}+\frac{x}{4}$

$\Longrightarrow\frac{5x+24}{5}\:=\:\frac{16+x}{4}$

$\Longrightarrow\frac{5x+24}{5}\:=\:\frac{16+x}{4}$

Cross Multiplying :

$\Longrightarrow\:5x+24\times4\:=\:16+x\times5$

$\Longrightarrow\:20x+96\:=\:80+5x$

$\Longrightarrow\:20x-5x\:=\:80-96$

$\Longrightarrow\:15x\:=\:80-96$

$\Longrightarrow\:x\:=\:-16/15$

$\Longrightarrow\:x\:=\:\frac{-16}{15}$

Hence, The final Value of x is

$\boxed{x\:=\:\frac{-16}{15}}$

Thanks! ^_^