Solve for x
x=-11772
Graph
Share
Copied to clipboard
11x+18\left(218-x\right)=86328
Multiply both sides of the equation by 396, the least common multiple of 36,22.
11x+3924-18x=86328
Use the distributive property to multiply 18 by 218-x.
-7x+3924=86328
Combine 11x and -18x to get -7x.
-7x=86328-3924
Subtract 3924 from both sides.
-7x=82404
Subtract 3924 from 86328 to get 82404.
x=\frac{82404}{-7}
Divide both sides by -7.
x=-11772
Divide 82404 by -7 to get -11772.
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}