Question 61347
<font color = "blue">
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 <a href = "http://www.mathick.com/mathick.php?topic=lineq1">mathick.com</a>, 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.</font>