What is the solution to the linear equation 12 + 3b = 15b?

To solve the linear equation 12 + 3b = 15b, we need to isolate the variable b.

Here are the steps to find the solution:

1. Start with the original equation:

12 + 3b = 15b

2. Next, we want to collect all the terms containing b on one side of the equation. To do this, subtract 3b from both sides:

12 = 15b – 3b

3. Simplify the right side:

12 = 12b

4. Now, to isolate b, divide both sides by 12:

b = 12 / 12

5. This simplifies to:

b = 1

Therefore, the solution to the equation 12 + 3b = 15b is b = 1.

It’s always a good practice to check your solution. Substituting b = 1 back into the original equation:

12 + 3(1) = 15(1)

This simplifies to:

12 + 3 = 15

And indeed, 15 = 15, confirming that our solution is correct!