Solve for x
x=40
Graph
Share
Copied to clipboard
\left(x-6\right)\times 800=x\times 680
Variable x cannot be equal to any of the values 0,6 since division by zero is not defined. Multiply both sides of the equation by x\left(x-6\right), the least common multiple of x,x-6.
800x-4800=x\times 680
Use the distributive property to multiply x-6 by 800.
800x-4800-x\times 680=0
Subtract x\times 680 from both sides.
120x-4800=0
Combine 800x and -x\times 680 to get 120x.
120x=4800
Add 4800 to both sides. Anything plus zero gives itself.
x=\frac{4800}{120}
Divide both sides by 120.
x=40
Divide 4800 by 120 to get 40.
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}