Question

solve for m.
5m - 8 = 2m + 1
m = ?

Explanation:

Step1: Subtract \(2m\) from both sides

To isolate the variable terms on one side, we subtract \(2m\) from both sides of the equation \(5m - 8 = 2m + 1\). This gives us \(5m - 2m - 8 = 2m - 2m + 1\), which simplifies to \(3m - 8 = 1\).

Step2: Add 8 to both sides

Next, we add 8 to both sides to isolate the term with the variable. So, \(3m - 8 + 8 = 1 + 8\), which simplifies to \(3m = 9\).

Step3: Divide by 3

Finally, we divide both sides by 3 to solve for \(m\). That is, \(\frac{3m}{3}=\frac{9}{3}\), so \(m = 3\).

Answer:

\(m = 3\)