Solve for x
x=4
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1-\frac{1-\frac{x}{2}}{-1}=0
Divide 2 by 2 to get 1.
1-\left(-1-\left(-\frac{x}{2}\right)\right)=0
Anything divided by -1 gives its opposite. To find the opposite of 1-\frac{x}{2}, find the opposite of each term.
1-\left(-1\right)-\left(-\left(-\frac{x}{2}\right)\right)=0
To find the opposite of -1-\left(-\frac{x}{2}\right), find the opposite of each term.
1+1-\left(-\left(-\frac{x}{2}\right)\right)=0
The opposite of -1 is 1.
2-\left(-\left(-\frac{x}{2}\right)\right)=0
Add 1 and 1 to get 2.
-\left(-\left(-\frac{x}{2}\right)\right)=-2
Subtract 2 from both sides. Anything subtracted from zero gives its negation.
-\left(-1\right)\times \frac{x}{2}=\frac{-2}{-1}
Divide both sides by -1.
-\left(-1\right)\times \frac{x}{2}=2
Fraction \frac{-2}{-1} can be simplified to 2 by removing the negative sign from both the numerator and the denominator.
-\frac{x}{2}=-2
Divide both sides by -1.
\frac{x}{2}=\frac{-2}{-1}
Divide both sides by -1.
\frac{x}{2}=2
Fraction \frac{-2}{-1} can be simplified to 2 by removing the negative sign from both the numerator and the denominator.
x=2\times 2
Multiply both sides by 2.
x=4
Multiply 2 and 2 to get 4.
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}