SOLUTION: what is -2|x-4|+6=-4
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Question 293750: what is -2|x-4|+6=-4
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
what is -2|x-4|+6 =-4
:
Subtract 6 from both sides
-2|x-4| = -4 - 6
-2|x-4| = -10
Divide both sides by -2
|x - 4| =
|x - 4| = +5
remove the absolutes, solve two equations, for two solutions
x - 4 = 5
x = 5 + 4
x = 9
and
x - 4 = -5
x = -5 + 4
x = -1
:
:
Check both solution in the original problem
x=9
-2|9-4|+6 =-4
-2|5| + 6 = -4
-10 + 6 = -4
and
x=-1
-2|-1-4|+6 =-4
-2|-5|+6 = -4
-2(+5) + 6 = -4
-10 + 6 = -4
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