Solve for x
x=\frac{20}{27}\approx 0.740740741
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3x-2=\frac{2}{9}
Divide both sides by 9.
3x=\frac{2}{9}+2
Add 2 to both sides.
3x=\frac{2}{9}+\frac{18}{9}
Convert 2 to fraction \frac{18}{9}.
3x=\frac{2+18}{9}
Since \frac{2}{9} and \frac{18}{9} have the same denominator, add them by adding their numerators.
3x=\frac{20}{9}
Add 2 and 18 to get 20.
x=\frac{\frac{20}{9}}{3}
Divide both sides by 3.
x=\frac{20}{9\times 3}
Express \frac{\frac{20}{9}}{3} as a single fraction.
x=\frac{20}{27}
Multiply 9 and 3 to get 27.
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
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}