Solve for x
x = \frac{12}{5} = 2\frac{2}{5} = 2.4
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-x\times 2=\left(x-3\right)\times 8
Variable x cannot be equal to any of the values 0,3 since division by zero is not defined. Multiply both sides of the equation by x\left(x-3\right), the least common multiple of 3-x,x.
-2x=\left(x-3\right)\times 8
Multiply -1 and 2 to get -2.
-2x=8x-24
Use the distributive property to multiply x-3 by 8.
-2x-8x=-24
Subtract 8x from both sides.
-10x=-24
Combine -2x and -8x to get -10x.
x=\frac{-24}{-10}
Divide both sides by -10.
x=\frac{12}{5}
Reduce the fraction \frac{-24}{-10} to lowest terms by extracting and canceling out -2.
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}