Solve for x
x = \frac{3612}{25} = 144\frac{12}{25} = 144.48
Graph
Share
Copied to clipboard
\left(x-344\right)\times 168=-x\times 232
Variable x cannot be equal to any of the values 0,344 since division by zero is not defined. Multiply both sides of the equation by x\left(x-344\right), the least common multiple of x,344-x.
168x-57792=-x\times 232
Use the distributive property to multiply x-344 by 168.
168x-57792=-232x
Multiply -1 and 232 to get -232.
168x-57792+232x=0
Add 232x to both sides.
400x-57792=0
Combine 168x and 232x to get 400x.
400x=57792
Add 57792 to both sides. Anything plus zero gives itself.
x=\frac{57792}{400}
Divide both sides by 400.
x=\frac{3612}{25}
Reduce the fraction \frac{57792}{400} to lowest terms by extracting and canceling out 16.
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}