Solve for x
x=\frac{9}{17}\approx 0.529411765
Graph
Quiz
Linear Equation
5 problems similar to:
\frac { 3 } { x } - \frac { 2 } { 2 } = \frac { 14 } { 3 }
Share
Copied to clipboard
6\times 3-3x\times 2=28x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6x, the least common multiple of x,2,3.
18-3x\times 2=28x
Multiply 6 and 3 to get 18.
18-6x=28x
Multiply 3 and 2 to get 6.
18-6x-28x=0
Subtract 28x from both sides.
-6x-28x=-18
Subtract 18 from both sides. Anything subtracted from zero gives its negation.
-34x=-18
Combine -6x and -28x to get -34x.
x=\frac{-18}{-34}
Divide both sides by -34.
x=\frac{9}{17}
Reduce the fraction \frac{-18}{-34} to lowest terms by extracting and canceling out -2.
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}