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