Solve for x
x = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333
Graph
Quiz
Linear Equation
5 problems similar to:
\frac { 3 } { x - 5 } = \frac { 1 } { x ^ { 2 } - 7 x + 10 }
Share
Copied to clipboard
\left(x-2\right)\times 3=1
Variable x cannot be equal to any of the values 2,5 since division by zero is not defined. Multiply both sides of the equation by \left(x-5\right)\left(x-2\right), the least common multiple of x-5,x^{2}-7x+10.
3x-6=1
Use the distributive property to multiply x-2 by 3.
3x=1+6
Add 6 to both sides.
3x=7
Add 1 and 6 to get 7.
x=\frac{7}{3}
Divide both sides by 3.
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}