Solve for x
x = \frac{24}{13} = 1\frac{11}{13} \approx 1.846153846
Graph
Share
Copied to clipboard
\frac{3}{2}x+\frac{2}{3}x=4
Add \frac{2}{3}x to both sides.
\frac{13}{6}x=4
Combine \frac{3}{2}x and \frac{2}{3}x to get \frac{13}{6}x.
x=4\times \frac{6}{13}
Multiply both sides by \frac{6}{13}, the reciprocal of \frac{13}{6}.
x=\frac{4\times 6}{13}
Express 4\times \frac{6}{13} as a single fraction.
x=\frac{24}{13}
Multiply 4 and 6 to get 24.
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}