Solve for x
x = \frac{14}{5} = 2\frac{4}{5} = 2.8
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\left(x-2\right)\times 3=\left(x-4\right)\left(-2\right)
Variable x cannot be equal to any of the values 2,4 since division by zero is not defined. Multiply both sides of the equation by \left(x-4\right)\left(x-2\right), the least common multiple of x-4,x-2.
3x-6=\left(x-4\right)\left(-2\right)
Use the distributive property to multiply x-2 by 3.
3x-6=-2x+8
Use the distributive property to multiply x-4 by -2.
3x-6+2x=8
Add 2x to both sides.
5x-6=8
Combine 3x and 2x to get 5x.
5x=8+6
Add 6 to both sides.
5x=14
Add 8 and 6 to get 14.
x=\frac{14}{5}
Divide both sides by 5.
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}