Solve for x
x = \frac{17}{3} = 5\frac{2}{3} \approx 5.666666667
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7-x=5x-27
Add 4 and 3 to get 7.
7-x-5x=-27
Subtract 5x from both sides.
7-6x=-27
Combine -x and -5x to get -6x.
-6x=-27-7
Subtract 7 from both sides.
-6x=-34
Subtract 7 from -27 to get -34.
x=\frac{-34}{-6}
Divide both sides by -6.
x=\frac{17}{3}
Reduce the fraction \frac{-34}{-6} to lowest terms by extracting and canceling out -2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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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}