Question

solve for s.
3s + 2 = 12 - 2s
s = ?

Explanation:

Step1: Add \(2s\) to both sides

To get all the \(s\)-terms on one side, we add \(2s\) to both sides of the equation \(3s + 2 = 12 - 2s\). This gives us \(3s + 2s + 2 = 12 - 2s + 2s\), which simplifies to \(5s + 2 = 12\).

Step2: Subtract 2 from both sides

Next, we isolate the term with \(s\) by subtracting 2 from both sides. So, \(5s + 2 - 2 = 12 - 2\), which simplifies to \(5s = 10\).

Step3: Divide by 5

Finally, we solve for \(s\) by dividing both sides by 5. \(\frac{5s}{5}=\frac{10}{5}\), so \(s = 2\).

Answer:

\(s = 2\)