Question

Algebra Basics Solve the equation. Check your solution.

$\mathbf{x}\mathbf{-}\mathbf{17}\mathbf{=}\mathbf{-}\mathbf{45}$

Short answer

The solution for the equation $x-17=-45$is$x=-28$.

Step-by-step solution

.  Separate the variable and constants

Write the original equation and separate the variables.

$\begin{array}{l}x-17=-45\text{}\left[\text{Writeoriginalequation.}\right]\text{}\\ x-17+17=-45+17\text{}\left[\text{Add17fromeachside.}\right]\text{}\end{array}$

. Simplify both sides

Simplify the equation on both sides to solve it.

$\begin{array}{l}x=-45+17\\ x=-28\end{array}$

Therefore, the solution of the equation is$x=-28$.

. Check the solution 

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

$x-17=-45$

Now, substitute $x=-28$ and check the result.

$\begin{array}{l}-28-17=-45\\ -45=-45\end{array}$

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