Solve for x
x = \frac{9}{4} = 2\frac{1}{4} = 2.25
Graph
Share
Copied to clipboard
2-6x-5x=2-3\left(5x-2\right)+3
Use the distributive property to multiply 2 by 1-3x.
2-11x=2-3\left(5x-2\right)+3
Combine -6x and -5x to get -11x.
2-11x=2-15x+6+3
Use the distributive property to multiply -3 by 5x-2.
2-11x=8-15x+3
Add 2 and 6 to get 8.
2-11x=11-15x
Add 8 and 3 to get 11.
2-11x+15x=11
Add 15x to both sides.
2+4x=11
Combine -11x and 15x to get 4x.
4x=11-2
Subtract 2 from both sides.
4x=9
Subtract 2 from 11 to get 9.
x=\frac{9}{4}
Divide both sides by 4.
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}