SOLUTION: 4|-5x + -2| + -6 = 182

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Question 298273: 4|-5x + -2| + -6 = 182
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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4|-5x + -2| + -6 = 182
Add 6 to both sides
4|-5x + -2| = 182 + 6
4|-5x + -2| = 188
Divide both sides by 4
|-5x + -2| = 188%2F4
|-5x + -2| = 47
Two solutions when you remove the absolutes
-5x + -2 = 47
add 2 to both sides
-5x = 49
x = 49%2F%28-5%29
x = -9.8
and
-5x + -2 = -47
-5x = -47 + 2
-5x = -45
x = %28-45%29%2F%28-5%29
x = +9
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Check both solutions by subtitution in the original problem