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2-5|-3x+2|=-2+2
Add 2 to both sides.
2-5|-3x+2|=0
Add -2 and 2 to get 0.
-5|-3x+2|=-2
Subtract 2 from both sides. Anything subtracted from zero gives its negation.
|-3x+2|=\frac{-2}{-5}
Divide both sides by -5.
|-3x+2|=\frac{2}{5}
Fraction \frac{-2}{-5} can be simplified to \frac{2}{5} by removing the negative sign from both the numerator and the denominator.
-3x+2=\frac{2}{5} -3x+2=-\frac{2}{5}
Use the definition of absolute value.
-3x=-\frac{8}{5} -3x=-\frac{12}{5}
Subtract 2 from both sides of the equation.
x=\frac{8}{15} x=\frac{4}{5}
Divide both sides by -3.