Solve for x
x=-\frac{5}{9}\approx -0.555555556
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3x=\frac{16}{3}-7
Subtract 7 from both sides.
3x=\frac{16}{3}-\frac{21}{3}
Convert 7 to fraction \frac{21}{3}.
3x=\frac{16-21}{3}
Since \frac{16}{3} and \frac{21}{3} have the same denominator, subtract them by subtracting their numerators.
3x=-\frac{5}{3}
Subtract 21 from 16 to get -5.
x=\frac{-\frac{5}{3}}{3}
Divide both sides by 3.
x=\frac{-5}{3\times 3}
Express \frac{-\frac{5}{3}}{3} as a single fraction.
x=\frac{-5}{9}
Multiply 3 and 3 to get 9.
x=-\frac{5}{9}
Fraction \frac{-5}{9} can be rewritten as -\frac{5}{9} by extracting the negative sign.
Examples
Quadratic equation
{ 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}