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Maths-

SAT

Easy

Question

|x+2|=|x-8|
What is the solution to the given equation?

-6
-3
3
6

The correct answer is: 3

Your answer is incorrect.
$open vertical bar x plus 2 close vertical bar equals space open vertical bar x minus 8 close vertical bar rightwards double arrow plus-or-minus open parentheses x plus 2 close parentheses equals plus-or-minus open parentheses x minus 8 close parentheses$
If we take positive sign on both sides, the equation doesn't satisfy.
If we take negative sign on both sides, the equation doesn't satisfy.
So, the rest two possibilities are
+ (x+2) = - (x - 8)
x+ 2 = - x + 8
2x = 8 - 2
2x = 6
x = 3

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