Solve the equation 5x – 8 = 3x + 10

To solve the equation 5x – 8 = 3x + 10, we’ll start by isolating the variable x. Here are the steps:

1. First, move the terms involving x to one side of the equation. We can do this by subtracting 3x from both sides:

5x – 3x – 8 = 10

2. This simplifies to:

2x – 8 = 10

3. Next, add 8 to both sides to get rid of the -8:

2x – 8 + 8 = 10 + 8

4. Which simplifies to:

2x = 18

5. Now, divide both sides by 2 to isolate x:

x = 18 / 2

6. Thus, the solution is:

x = 9

We’ve now solved the equation! The answer is x = 9.