Solve the equation
–|x-2|+5=1

x=6

x=−2

Step-by-step explanation:

  -(x-2) = 4

    Multiply

     -x+2 = 4

    Rearrange and Add up

     -x = 2

    Multiply both sides by (-1)

     x = -2

    Which is the solution for the Negative Case

Also

(x-2) = 4

    Rearrange and Add up

     x = 6

    Which is the solution for the Positive Case