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x+8-6x=-2|-6|
Multiply both sides of the equation by 2.
-5x+8=-2|-6|
Combine x and -6x to get -5x.
-5x+8=-2\times 6
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -6 is 6.
-5x+8=-12
Multiply -2 and 6 to get -12.
-5x=-12-8
Subtract 8 from both sides.
-5x=-20
Subtract 8 from -12 to get -20.
x=\frac{-20}{-5}
Divide both sides by -5.
x=4
Divide -20 by -5 to get 4.