Solve for x
x = \frac{6}{5} = 1\frac{1}{5} = 1.2
Graph
Quiz
Linear Equation
5 problems similar to:
\frac { 4 x } { 9 } - \frac { 1 } { 3 } = \frac { x } { 6 }
Share
Copied to clipboard
2\times 4x-6=3x
Multiply both sides of the equation by 18, the least common multiple of 9,3,6.
8x-6=3x
Multiply 2 and 4 to get 8.
8x-6-3x=0
Subtract 3x from both sides.
5x-6=0
Combine 8x and -3x to get 5x.
5x=6
Add 6 to both sides. Anything plus zero gives itself.
x=\frac{6}{5}
Divide both sides by 5.
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}