Solve for x
x=-1
x=3
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|2x-3-\left(-2+x\right)|=2
Divide each term of 2x-4 by 2 to get -2+x.
|2x-3-\left(-2\right)-x|=2
To find the opposite of -2+x, find the opposite of each term.
|2x-3+2-x|=2
The opposite of -2 is 2.
|2x-1-x|=2
Add -3 and 2 to get -1.
|x-1|=2
Combine 2x and -x to get x.
x-1=2 x-1=-2
Use the definition of absolute value.
x=3 x=-1
Add 1 to both sides of the equation.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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
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