SOLUTION: [x-6]=2

Question 281737: [x-6]=2
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Break up the absolute value (remember, if you have , then or )

or Set the expression equal to the original value 2 and it's opposite -2

Now lets focus on the first equation

Add 6 to both sides

Combine like terms on the right side

Now lets focus on the second equation

Add 6 to both sides

Combine like terms on the right side

So the solutions to are:

and

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Use the definition of absolute value.

Hence, if , then either

or

Therefore

or

So, 8 minus 6 is 2 and the absolute value of 2 is 2, and the first answer checks. And then 4 minus 6 is minus 2 and the absolute value of minus 2 is 2 -- second answer checks.

John

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