How to solve 2|z+1|-3=z-2?

Question

Please show steps!!!

Answer 1

The given expression is  2|z+1| -3 = z -2

add 3 to each side

2|z+1| = z + 1

Divide each side by 2

|z+1| = (z + 1)/2

remove absolute value brackets and write two equations

z+1 = (z + 1)/2 -----(1)  :   z+1 = -(z + 1)/2

solve fist equation z+1 = (z + 1)/2

2z + 2 = z + 1

z + 1 = 0

z = -1

solve second equation z+1 = -(z + 1)/2

2z + 2 = - z - 1

3z = -3

z = -1

The value of  z  is -1

I hopeit helps