Question

Find values of x 0=3|x-5|-15j

Answer 1

x ∈ {0, 10}

Explanation:

It is convenient to divide by 3:

0 = |x -5| -5

Add 5:

5 = |x -5|

Unfold the absolute value:

±5 = x -5

Add 5:

5+5 = x = 10 . . . . use the "plus" of "plus or minus"

5 -5 = x = 0 . . . . use the "minus" of "plus or minus"

The values of x that make the equation true are 0 or 10.