If |3x - 7| = |3x + 1| what is the value of x?

x = 1

Step-by-step explanation:

First, try setting the two equal to each other without absolute value

3x - 7 = 3x + 1

0 = 8

That's undefined, so try making one negative. It doesn't matter which, so I'll do the first one.

- (3x - 7) = 3x + 1

7 - 3x = 3x + 1

6 = 6x

1 = x