Solve for x
x = \frac{15}{7} = 2\frac{1}{7} \approx 2.142857143
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9-6x+6=x
Use the distributive property to multiply -2 by 3x-3.
15-6x=x
Add 9 and 6 to get 15.
15-6x-x=0
Subtract x from both sides.
15-7x=0
Combine -6x and -x to get -7x.
-7x=-15
Subtract 15 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-15}{-7}
Divide both sides by -7.
x=\frac{15}{7}
Fraction \frac{-15}{-7} can be simplified to \frac{15}{7} by removing the negative sign from both the numerator and the denominator.
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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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}