Find the missing number so that the equation has infinitely many solutions. Fill in the blank -2x - 8 =___ x - 8

4.

By setting the equation to have infinitely many solutions, the left side has to simplify to be equal to the right side, or in other words, the equation should simplify to 0 = 0. By adding 2x to both sides, the equation becomes 0 = 2x - 8. Adding 8 to both sides leads to 8 = 2x, or 4 = x.