Solve for x
x=\frac{2}{3}\approx 0.666666667
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2\times 2x+2\left(x+2\right)\left(-\frac{1}{2}\right)=0
Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by 2\left(x+2\right), the least common multiple of 2+x,2.
4x+2\left(x+2\right)\left(-\frac{1}{2}\right)=0
Multiply 2 and 2 to get 4.
4x-\left(x+2\right)=0
Multiply 2 and -\frac{1}{2} to get -1.
4x-x-2=0
To find the opposite of x+2, find the opposite of each term.
3x-2=0
Combine 4x and -x to get 3x.
3x=2
Add 2 to both sides. Anything plus zero gives itself.
x=\frac{2}{3}
Divide both sides by 3.
Examples
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{ 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}