What are the two equations that need to be solved to find the solutions for the absolute value equation |x-5|=x+2?

Step-by-step explanation:

|x-5|=x+2

note : |a| = b and b≥0 : a=b or a = - b

|x-5|=x+2

x-5 = x+2 or x-5 = - (x+2) and x+2 ≥0

that need to be solved to find the solutions for the absolute value equation |x-5|=x+2:

the first equation is : x-5 = x+2 and x+2 ≥0

the second equation is : x-5 = - x-2 and x+2 ≥0