Question

Solve each equation. Check your solution.

$7q+q-3q=-24$

Short answer

The required answer is $-\frac{24}{5}$.

Step-by-step solution

Step 1- Simplify left side of the equation

Combine the like terms on left side the original equation.

$5q=-24$

Step 2- Isolate the variable q

Perform division of 5 on both sides of the equation.

$\begin{array}{c}\frac{5q}{5}=\frac{-24}{5}\\ q=-\frac{24}{5}\end{array}$

– Check the obtained value 

Substitute the obtained value of q into the original equation and perform simplification for checking.

$\begin{array}{l}7\left(-\frac{24}{5}\right)+\left(-\frac{24}{5}\right)-3\left(-\frac{24}{5}\right)\stackrel{?}{=}-24\\ -24=-24\end{array}$

Step 4- Make the conclusion

As the checking results in equal values on both the sides on substation of obtained value which means that obtained value is correct.