Solve for x
x = \frac{2640}{83} = 31\frac{67}{83} \approx 31.807228916
Graph
Share
Copied to clipboard
\left(5x+550\right)\times 120\times \frac{2}{5}=5x\times 214
Variable x cannot be equal to any of the values -110,0 since division by zero is not defined. Multiply both sides of the equation by 5x\left(x+110\right), the least common multiple of x,5,x+110.
\left(5x+550\right)\times 48=5x\times 214
Multiply 120 and \frac{2}{5} to get 48.
240x+26400=5x\times 214
Use the distributive property to multiply 5x+550 by 48.
240x+26400=1070x
Multiply 5 and 214 to get 1070.
240x+26400-1070x=0
Subtract 1070x from both sides.
-830x+26400=0
Combine 240x and -1070x to get -830x.
-830x=-26400
Subtract 26400 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-26400}{-830}
Divide both sides by -830.
x=\frac{2640}{83}
Reduce the fraction \frac{-26400}{-830} to lowest terms by extracting and canceling out -10.
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}