Solve for x
x=\frac{4}{5}=0.8
x=\frac{8}{15}\approx 0.533333333
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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.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}