Question

What goes in the blanks to make the solution infinite answers? 7x - 8 = 8 + ____x - ____ + 3x

Answer 1

`7x-8=8+4x-16+3x`

Explanation:

Your end goal is to have both sides equal for all values of `x`. In other words, you want the equation to look like `7x-8=7x-8` when completely simplified. You can find the solution by subtracting `8` and `3x` from both sides in order to isolate your blank spaces. This gives you the equation `4x-16=ax-b`, where `a` and `b` are your blank spaces. You can check your answer by simplifying the right hand side of your final equation to be sure it results in `7x-8=7x-8`.