So here's the equation.
I know x = 12 because of the answer key, but I keep getting the wrong answer. I really need a step-by-step explanation.
You have terms on the left side of your equation with the variable x in them. Combine these. On the right side, you just have numbers. Combine these.
Now, if you divide by 7, you will not get 12. You will, in fact, get . Maybe you miscopied the problem. Check it again.
Next, subtract from both sides of the equation.
Finally divide both sides by to arrive at your desired conclusion.
Now, if it's the arithmetic that's giving you problems, you might want to convert those mixed fractions to improper fractions. Might make it easier to solve.
Multiply each term by 4.
Subtract 15x from both sides
Divide by 13.