Question

Algebra Basics Solve the equation. Check your solution. (Lesson 2.5)

$\mathbf{d}\mathbf{-}\mathbf{22}\mathbf{=}\mathbf{-}\mathbf{43}$

Short answer

The solution for the equation $d-22=-43$ is $d=-21$.

Step-by-step solution

.  Separate the variable and constants

Write the original equation and separate the variables.

$\begin{array}{l}d-22=-43\text{}\left[\text{Writeoriginalequation.}\right]\text{}\\ d-22+22=-43+22\text{}\left[\text{Add22toeachside.}\right]\text{}\end{array}$

.  Simplify both sides

Simplify the equation on both sides to solve it.

$\begin{array}{l}d=-43+22\\ d=-21\end{array}$

Therefore, the solution of the equation is $d=-21$.

.  Check the solution 

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

$d-22=-43$

Now, substitute $d=-21$and check the result.

$\begin{array}{l}-21-22=-43\text{}[\text{Substitute}-21\text{ford.}]\text{}\\ -43=-43\end{array}$

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