Solve for x
x=2
Graph
Quiz
Linear Equation
5 problems similar to:
\frac { 2 } { x } + \frac { 3 } { x + 1 } = \frac { 4 } { x }
Share
Copied to clipboard
\left(x+1\right)\times 2+x\times 3=\left(x+1\right)\times 4
Variable x cannot be equal to any of the values -1,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+1\right), the least common multiple of x,x+1.
2x+2+x\times 3=\left(x+1\right)\times 4
Use the distributive property to multiply x+1 by 2.
5x+2=\left(x+1\right)\times 4
Combine 2x and x\times 3 to get 5x.
5x+2=4x+4
Use the distributive property to multiply x+1 by 4.
5x+2-4x=4
Subtract 4x from both sides.
x+2=4
Combine 5x and -4x to get x.
x=4-2
Subtract 2 from both sides.
x=2
Subtract 2 from 4 to get 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}