Q21. - Algebra 2

Question

Solve each equation. Check your solutions.

$\mathbf{5}\mathbf{m}\mathbf{-}\left(\mathbf{5}\mathbf{+}\mathbf{4}\mathbf{m}\right)\mathbf{=}\left(\mathbf{3}\mathbf{+}\mathbf{m}\right)\mathbf{-}\mathbf{8}$ 

Step-by-Step Solution

Answer

The solution set of given equation contains all real numbers.

Step 1 – Description of step.

Expand the parentheses on the left-hand side and right-hand side.

 

$5m-5-4m=3+m-8$

Step 2 – Description of step.

Add 5 on both the sides of the equation step 1.

$\begin{array}{c}5m-5-4m+5=3+m-8+5\\ 5m-4m=3+m-3\end{array}$

Step 3 – Description of step.

Simplify the equation in step 2.

$\begin{array}{c}m=3+m-3\\ m=m\end{array}$

Step 4 – Description of step.

From the step 3 it can be concluded that the solution of the given equation is all real numbers.

 

Therefore, the solution set of given equation contains all real numbers.