Solve for x
x = \frac{72}{13} = 5\frac{7}{13} \approx 5.538461538
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216-12x=27x
Use the distributive property to multiply 12 by 18-x.
216-12x-27x=0
Subtract 27x from both sides.
216-39x=0
Combine -12x and -27x to get -39x.
-39x=-216
Subtract 216 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-216}{-39}
Divide both sides by -39.
x=\frac{72}{13}
Reduce the fraction \frac{-216}{-39} to lowest terms by extracting and canceling out -3.
Examples
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{ 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}