\frac { 2 x - 3,5 } { 3 - x } = \frac { 5 } { 2 x - 6 }
Solve for x
x=0,5
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-2\left(2x-3,5\right)=5
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-3\right), the least common multiple of 3-x;2x-6.
-4x+7=5
Use the distributive property to multiply -2 by 2x-3,5.
-4x=5-7
Subtract 7 from both sides.
-4x=-2
Subtract 7 from 5 to get -2.
x=\frac{-2}{-4}
Divide both sides by -4.
x=\frac{1}{2}
Reduce the fraction \frac{-2}{-4} to lowest terms by extracting and canceling out -2.
Examples
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y = 3x + 4
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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}