Equation with abs value

How many solutions has the equation

$(\mathrm{\mid }x\mathrm{\mid }+x)\mathrm{\mid }x-3\mathrm{\mid }=\mathrm{\mid }x+1\mathrm{\mid }$

in the real numbers?

Correct answer:

n =  4

Step-by-step explanation:

$$\begin{gathered} x_1=-1 \\ {x}_2=0.219223593596 \\ {x}_3=2.2807764064 \\ {x}_4=3.63745860882 \end{gathered}$$

The equation has infinity many solutions.

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