Answer
x = -4
Work Step by Step
$\frac{x}{5}$ + x = -$\frac{24}{5}$
Muliply both sides of the equation by the LCD, 5, to cancel out the 5 in the denominators of $\frac{x}{5}$ and -$\frac{24}{5}$:
5($\frac{x}{5}$ + x) = 5(-$\frac{24}{5}$)
5($\frac{x}{5}$) + 5x = 5(-$\frac{24}{5}$)
Now, cancel out the denominators of of $\frac{x}{5}$ and -$\frac{24}{5}$.
x + 5x = -24
Combine like terms:
6x = -24
Divide both sides by 6 to find x:
6x $\div$ 6 = (-24 $\div$ 6)
x = -4
