Solve for x
x=3
Graph
Share
Copied to clipboard
3+6x-12=2x-3\left(5-2x\right)
Use the distributive property to multiply 6 by x-2.
-9+6x=2x-3\left(5-2x\right)
Subtract 12 from 3 to get -9.
-9+6x=2x-15+6x
Use the distributive property to multiply -3 by 5-2x.
-9+6x=8x-15
Combine 2x and 6x to get 8x.
-9+6x-8x=-15
Subtract 8x from both sides.
-9-2x=-15
Combine 6x and -8x to get -2x.
-2x=-15+9
Add 9 to both sides.
-2x=-6
Add -15 and 9 to get -6.
x=\frac{-6}{-2}
Divide both sides by -2.
x=3
Divide -6 by -2 to get 3.
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}