Question

What is the value of x?

Answer 1

`|2-(-2)|=-3x+1\\\\-3x+1=|2+2|\\\\-3x+1=|4|\\\\-3x+1=4\ \ \ \ |subtract\ 1\ from\ boh\ sides\\\\-3x=3\ \ \ \ \ \ |divide\ both\ sides\ by\ (-3)\\\\\boxed{x=-1}`

Answer 2

We can see on the number line that the bracket is 4 units long,
and the label above it says that it's (-3x + 1) long.

-3x + 1 = 4

Subtract 1 from each side: -3x = 3

Now divide each side by -3 : x = -1