Question

Solve the equation. Check your solution.

$\mathbf{12}\mathbf{-}\mathbf{4}\mathbf{s}\mathbf{=}\mathbf{-}\mathbf{12}$

Short answer

The solution for the equation $12-4s=-12$ is $s=6$.

Step-by-step solution

Step 1. Separate the variable and constants

Write the original equation and separate the variables.

$\begin{array}{c}12-4s=-12\\ -4s=-12-12\\ -4s=-24\end{array}$

Step 2. Solve for f

Now, divide both sides of the equation by -4.

$\begin{array}{c}s=\frac{-24}{-4}\\ s=6\end{array}$

Therefore, the solution of the equation is $s=6$.

Step 3. Check the solution 

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

$12-4s=-12$

Now, substitute$s=6$ and check the result.

$\begin{array}{c}12-4\left(6\right)=-12\\ 12-24=-12\\ -12=-12\end{array}$

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