Question

Solve each equation. Check your solution.

$3m+4=-11$

Short answer

The solution of the given equation $m=-5$.

Step-by-step solution

Step 1. Isolate the variable.

$\begin{array}{l}3m+4=-11\\ 3m=-11-4\\ 3m=-15\end{array}$

Step 2. Solve for the variable.

$\begin{array}{l}m=\frac{-15}{3}\\ m=-5\end{array}$

Step 3. Check the solution by putting the value of m into the given equation.

$\begin{array}{l}3m+4=-11\\ 3(-5)+4=-11\\ -15+4=-11\\ -11=-11\end{array}$

Hence, proved.