SOLUTION: solve |2x-7|=12, show all work

Question 198054: solve |2x-7|=12, show all work
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 12 and it's opposite -12

Now lets focus on the first equation

Add 7 to both sides

Combine like terms on the right side

Reduce

Now lets focus on the second equation

Add 7 to both sides

Combine like terms on the right side

Divide both sides by 2 to isolate x

Reduce

So the solutions to are:

and

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