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

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Question 338045: How do you solve an absolute value equation like this | 10-4x | = 2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

abs%2810-4x%29=2 Start with the given equation


Break up the absolute value (remember, if you have abs%28x%29=a, then x=-a or x=a)

10-4x=-2 or 10-4x=2 Set the expression 10-4x equal to the original value 2 and it's opposite -2




Now lets focus on the first equation 10-4x=-2


-4x=-2-10Subtract 10 from both sides


-4x=-12 Combine like terms on the right side


x=%28-12%29%2F%28-4%29 Divide both sides by -4 to isolate x



x=3 Divide






Now lets focus on the second equation 10-4x=2



-4x=2-10Subtract 10 from both sides


-4x=-8 Combine like terms on the right side


x=%28-8%29%2F%28-4%29 Divide both sides by -4 to isolate x



x=2 Divide





So the solutions to abs%2810-4x%29=2 are:

x=3 or x=2



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

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Jim