Question

Solve the equation |x + 6|= |x– 12|. Graph the solutions, if possible.

Answer 1

Explanation:

|x+6|=|x-12|

x+6=±(x-12)

when x+6=x-12

6=-12

which is impossible hence rejected.

x+6=-(x-12)

x+6=-x+12

x+x=12-6

2x=6

x=6/2=3

so x=3

Answer 2

x=3

Explanation: