Solve for x
x=1
Graph
Share
Copied to clipboard
6x-3\left(x-1\right)=12-2\left(x+2\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
6x-3x+3=12-2\left(x+2\right)
Use the distributive property to multiply -3 by x-1.
3x+3=12-2\left(x+2\right)
Combine 6x and -3x to get 3x.
3x+3=12-2x-4
Use the distributive property to multiply -2 by x+2.
3x+3=8-2x
Subtract 4 from 12 to get 8.
3x+3+2x=8
Add 2x to both sides.
5x+3=8
Combine 3x and 2x to get 5x.
5x=8-3
Subtract 3 from both sides.
5x=5
Subtract 3 from 8 to get 5.
x=\frac{5}{5}
Divide both sides by 5.
x=1
Divide 5 by 5 to get 1.
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}