Question 298273
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| = {{{188/4}}}
|-5x + -2| = 47
Two solutions when you remove the absolutes
-5x + -2 = 47
add 2 to both sides
-5x = 49
x = {{{49/(-5)}}}
x = -9.8
and
-5x + -2 = -47
-5x = -47 + 2
-5x = -45
x = {{{(-45)/(-5)}}}
x = +9
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Check both solutions by subtitution in the original problem