|x|=7 has the solutions 7 and -7.
Work Step by Step
When solving this problem, you want to remember that anything inside of the bars will automatically become positive. You could also think of it in terms of the distance from zero. Since we need to find any numbers inside of the bars that could be equal to 7, we need to use both positive and negative numbers. We realize that obviously 7 equals 7, so that is your first answer. Now, taking into consideration that anything inside the bars automatically becomes postive, we realize that the second solution is -7.