SOLUTION: How do you solve an absolute value equation like this | 10-4x

SOLUTION: How do you solve an absolute value equation like this | 10-4x | = 2

Question 338045: How do you solve an absolute value equation like this | 10-4x | = 2
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

Subtract 10 from both sides

Combine like terms on the right side

Divide both sides by -4 to isolate x

Divide

Now lets focus on the second equation

Subtract 10 from both sides

Combine like terms on the right side

Divide both sides by -4 to isolate x

Divide

So the solutions to are:

or

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website.

Jim
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