Question

Solve for x: |x − 2| + 10 = 12

Answer 1

|x − 2| + 10 = 12
Transfer 10 to right side, what would you get?

Answer 2

You will get |x − 2| = 2

Answer 3

Now
\[ x − 2 = \pm2\]
Choosing one plus and minus sign you can solve it yourself

Answer 4

for positive charge we can write
x-2+10=12
=>x+8=12
=>x=12-8
=>x=4
for negative charge we can write
-(x-2)+10=12
=>-x+2+10=12
=>-x=12-12
=>x=0

Answer 5

x-2=2 or x-2=-2
i.e. x= 4 or x=0 is the ans