How many solutions does the equation $|x+2| = 2x$ have?
Square both sides: (x + 2)^2 = 4x^2 => x^2 + 4x + 4 = 4x^2 => 3x^2 - 4x - 4 = (3x + 2)(x - 2) = 0. Solutions are x = -3/2, x = 2.
x +2 = 2x and x+2 = -2x
2= x and 2= -3x x = -2/3
