Solve for x
x=-5
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Linear Equation
5 problems similar to:
\frac { x } { x - 2 } - 2 = \frac { 3 ( x + 2 ) } { 2 - x }
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x+\left(x-2\right)\left(-2\right)=-3\left(x+2\right)
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x-2, the least common multiple of x-2,2-x.
x-2x+4=-3\left(x+2\right)
Use the distributive property to multiply x-2 by -2.
-x+4=-3\left(x+2\right)
Combine x and -2x to get -x.
-x+4=-3x-6
Use the distributive property to multiply -3 by x+2.
-x+4+3x=-6
Add 3x to both sides.
2x+4=-6
Combine -x and 3x to get 2x.
2x=-6-4
Subtract 4 from both sides.
2x=-10
Subtract 4 from -6 to get -10.
x=\frac{-10}{2}
Divide both sides by 2.
x=-5
Divide -10 by 2 to get -5.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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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}