How do you solve the equation 5x + 8 = 3x + 10?

To solve the equation 5x + 8 = 3x + 10, follow these steps:

1. Start with the original equation:

   5x + 8 = 3x + 10

2. Isolate the variable (x) on one side:

   First, subtract 3x from both sides to move all terms containing x to one side of the equation:
   
   5x – 3x + 8 = 10

   This simplifies to:

   2x + 8 = 10

3. Next, eliminate the constant term:

   Now, subtract 8 from both sides to isolate the term with x:
   
   2x + 8 – 8 = 10 – 8

   This simplifies to:

   2x = 2

4. Finally, solve for x:

   Now, divide both sides by 2 to find the value of x:
   
   x = 2 / 2

   This gives:

   x = 1

Conclusion: The solution to the equation 5x + 8 = 3x + 10 is x = 1.