What value or values of x satisfy 2|x + 5.3| = 4.2? x can only equal –3.2. x can only equal 7.4. x can equal –3.2 or –7.4. x can equal –3.2 or 7.4.

2 | x + 5.3 | = 4.2
| x + 5.3 | = 4.2 / 2
| x + 5.3 | = 2.1

x + 5.3 = 2.1              x + 5.3 = - 2.1
x = 2.1 - 5.3               x = -2.1 - 5.3
x = - 3.2                     x = - 7.4

solution is : x = -3.2 or x = -7.4