Solve the following equation and verify the answer:

6x + 5 = 2x + 17

To solve the equation 6x + 5 = 2x + 17, we need to isolate the variable x. Here’s how to do it step by step:

Step 1: Move all terms involving x to one side

Subtract 2x from both sides:

6x - 2x + 5 = 17

This simplifies to:

4x + 5 = 17

Step 2: Isolate the x term

Next, subtract 5 from both sides:

4x + 5 - 5 = 17 - 5

This gives us:

4x = 12

Step 3: Solve for x

Now, divide both sides by 4:

x = 12 / 4

This results in:

x = 3

Verification

To ensure our solution is correct, we can substitute x = 3 back into the original equation:

Left side: 6(3) + 5 = 18 + 5 = 23

Right side: 2(3) + 17 = 6 + 17 = 23

Since both sides equal 23, our solution is verified.

Final Answer

The solution to the equation is x = 3.