Question

solve for s. 5s - 9 = 3s + 5

Explanation:

Step1: Subtract \(3s\) from both sides

To isolate the variable terms, we subtract \(3s\) from each side of the equation \(5s - 9 = 3s + 5\). This gives us \(5s - 3s - 9 = 3s - 3s + 5\), which simplifies to \(2s - 9 = 5\).

Step2: Add 9 to both sides

Next, we add 9 to both sides to isolate the term with \(s\). So, \(2s - 9 + 9 = 5 + 9\), which simplifies to \(2s = 14\).

Step3: Divide by 2

Finally, we divide both sides by 2 to solve for \(s\). That is, \(\frac{2s}{2} = \frac{14}{2}\), which gives \(s = 7\).

Answer:

\(s = 7\)