Question 61347: |2x+6|=10
Answer by mathick(4)   (Show Source):
You can put this solution on YOUR website!
An absolute value equation such as
|y| = 10
is really two equations:
y = 10 and y = -10.
Similarly, the equation
|2x+6|= 10
is equivalent to the two equations
2x + 6 = 10 and 2x + 6 = -10.
Solving these both for x gives the two answers.
The first one, for example is: 2x + 6 = 10. You can solve it at mathick.com, or as follows:
Subtract 6 from both sides: 2x = 4
Divide both sides by 2: x = 2.
Solving the second equation gives x = -8, so the two answers are 2 and -8.
You can plug these back into the original equation to verify that they are correct.
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