Question

Solve each equation. Check your solutions.

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

Short answer

Thesolution set of given equation contains all real numbers.

Step-by-step solution

– Description of step.

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

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

– Description of step.

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

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

– Description of step.

Simplify the equation in step 2.

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

– 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.