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|\frac{-x+3}{3}|=4+1
Add 1 to both sides.
|\frac{-x+3}{3}|=5
Add 4 and 1 to get 5.
|-\frac{1}{3}x+1|=5
Divide each term of -x+3 by 3 to get -\frac{1}{3}x+1.
-\frac{1}{3}x+1=5 -\frac{1}{3}x+1=-5
Use the definition of absolute value.
-\frac{1}{3}x=4 -\frac{1}{3}x=-6
Subtract 1 from both sides of the equation.
x=-12 x=18
Multiply both sides by -3.