Solve: 5x-3=11+12x; 17x-3=11; 17x-3+3=11+3= 17x=14; x= 14/17 is this right?

Not quite. In your first step, you aren't doing the same thing to both sides of the equation.

5x-3 = 11+12x

You correctly recognized that you need to isolate the x terms on one side. However, if you subtract 12x from the right, you need to subtract 12x from the left, not add. So:

-7x - 3 = 11

You didn't make any other mistakes after that point. Following the same steps from here should give you the right answer,

Thank you, I see my error.

To verify if your solution is correct, let's go step by step through the problem.

The given equation is: 5x - 3 = 11 + 12x.

First, we need to collect the terms with x on one side of the equation. To do this, we'll subtract 12x from both sides:

5x - 12x - 3 = 11 + 12x - 12x.

Simplifying this equation gives us:

-7x - 3 = 11.

Next, let's isolate the variable term by subtracting 11 from both sides:

-7x - 3 - 11 = 11 - 11.

Simplifying again gives us:

-7x - 14 = 0.

Now, we'll rearrange the equation by adding 14 to both sides:

-7x - 14 + 14 = 0 + 14.

This simplifies to:

-7x = 14.

Finally, to solve for x, we'll divide both sides by -7:

(-7x)/-7 = 14/-7.

This gives us:

x = -2.

Therefore, the correct solution to the equation is x = -2, not 14/17.