Question

Solve each equation. Check your solution.

$3.6-2.4m=12$

Short answer

The solution of the given equation is $m=-3.5$.

Step-by-step solution

Step 1. Isolate the variable.

$\begin{array}{l}3.6-2.4m=12\\ 3.6-12=2.4m\\ -8.4=2.4m\end{array}$

Step 2. Solve for m.

$\begin{array}{l}-8.4=2.4m\\ -\frac{8.4}{2.4}=m\\ -3.5=m\end{array}$

Hence, the value of $m=-3.5$.

Step 3. Verify the solution.

Put $m=-3.5$into the given equation.

$\begin{array}{l}3.6-2.4(-3.5)=12\\ 3.6+8.4=12\\ 12=12\end{array}$