SOLUTION: Solve each absolute value equation |2x-5|-12=-5

Question 174185This question is from textbook algebra 1
: Solve each absolute value equation
|2x-5|-12=-5 This question is from textbook algebra 1

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Add 12 to both sides.

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

or Set the expression equal to the original value 7 and it's opposite -7

Now lets focus on the first equation

Add 5 to both sides

Combine like terms on the right side

Divide both sides by 2 to isolate x

Divide

Now lets focus on the second equation

Add 5 to both sides

Combine like terms on the right side

Divide both sides by 2 to isolate x

Divide

So the solutions are:

or

Notice if we graph and (just set each side equal to y and graph), we get

Graph of (red) and (green)

and we can see the two graphs intersect at and . So this verifies our answer.

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