Solve for x
x = \frac{200000}{227} = 881\frac{13}{227} \approx 881.057268722
Graph
Share
Copied to clipboard
200\left(1000-x\right)=27x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 200x, the least common multiple of x,200.
200000-200x=27x
Use the distributive property to multiply 200 by 1000-x.
200000-200x-27x=0
Subtract 27x from both sides.
200000-227x=0
Combine -200x and -27x to get -227x.
-227x=-200000
Subtract 200000 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-200000}{-227}
Divide both sides by -227.
x=\frac{200000}{227}
Fraction \frac{-200000}{-227} can be simplified to \frac{200000}{227} by removing the negative sign from both the numerator and the denominator.
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}