Solve for x
x = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667
Graph
Share
Copied to clipboard
15x-35-4x=5\left(x-2\right)-9
Use the distributive property to multiply -5 by -3x+7.
11x-35=5\left(x-2\right)-9
Combine 15x and -4x to get 11x.
11x-35=5x-10-9
Use the distributive property to multiply 5 by x-2.
11x-35=5x-19
Subtract 9 from -10 to get -19.
11x-35-5x=-19
Subtract 5x from both sides.
6x-35=-19
Combine 11x and -5x to get 6x.
6x=-19+35
Add 35 to both sides.
6x=16
Add -19 and 35 to get 16.
x=\frac{16}{6}
Divide both sides by 6.
x=\frac{8}{3}
Reduce the fraction \frac{16}{6} to lowest terms by extracting and canceling out 2.
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}