Solve for x
x = \frac{10}{9} = 1\frac{1}{9} \approx 1.111111111
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3x=4-\frac{2}{3}
Subtract \frac{2}{3} from both sides.
3x=\frac{12}{3}-\frac{2}{3}
Convert 4 to fraction \frac{12}{3}.
3x=\frac{12-2}{3}
Since \frac{12}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.
3x=\frac{10}{3}
Subtract 2 from 12 to get 10.
x=\frac{\frac{10}{3}}{3}
Divide both sides by 3.
x=\frac{10}{3\times 3}
Express \frac{\frac{10}{3}}{3} as a single fraction.
x=\frac{10}{9}
Multiply 3 and 3 to get 9.
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}