Question

Solve the equation. Check your solution.

$\mathbf{-}\mathbf{2}\mathbf{q}\mathbf{-}\mathbf{63}\mathbf{=}\mathbf{47}$

Short answer

The solution for the equation $-2q-63=47$ is$q=-55$.

Step-by-step solution

.  Separate the variable and constants

Write the original equation and separate the variables.

$\begin{array}{l}-2q-63=47\\ -2q=47+63\\ -2q=110\end{array}$

.  Solve for q

Now, divide both sides of the equation by -2.

$\begin{array}{l}\frac{-2q}{-2}=\frac{110}{-2}\\ q=\frac{110}{-2}\\ q=-55\end{array}$

Therefore, the solution of the equation is$q=-55$.

.  Check the solution 

To check the solution, write the original equation and substitute the value of q.

$-2q-63=47$

Now, substitute $q=-55$and check the result.

$\begin{array}{l}-2\left(-55\right)-63=47\\ 110-63=47\\ 47=47\end{array}$

As the left-hand side is equal to right hand side, this signifies that the solution is correct.