Solve for x
x = \frac{14}{5} = 2\frac{4}{5} = 2.8
Graph
Share
Copied to clipboard
\frac{17}{2}x-4=3\left(2x+1\right)
Combine \frac{5}{2}x and 6x to get \frac{17}{2}x.
\frac{17}{2}x-4=6x+3
Use the distributive property to multiply 3 by 2x+1.
\frac{17}{2}x-4-6x=3
Subtract 6x from both sides.
\frac{5}{2}x-4=3
Combine \frac{17}{2}x and -6x to get \frac{5}{2}x.
\frac{5}{2}x=3+4
Add 4 to both sides.
\frac{5}{2}x=7
Add 3 and 4 to get 7.
x=7\times \frac{2}{5}
Multiply both sides by \frac{2}{5}, the reciprocal of \frac{5}{2}.
x=\frac{7\times 2}{5}
Express 7\times \frac{2}{5} as a single fraction.
x=\frac{14}{5}
Multiply 7 and 2 to get 14.
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}