Solve for x
x=6
Graph
Share
Copied to clipboard
3\times 3=3x\times \frac{5}{3}-3\times 7
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x, the least common multiple of x,3.
9=3x\times \frac{5}{3}-3\times 7
Multiply 3 and 3 to get 9.
9=5x-3\times 7
Cancel out 3 and 3.
9=5x-21
Multiply -3 and 7 to get -21.
5x-21=9
Swap sides so that all variable terms are on the left hand side.
5x=9+21
Add 21 to both sides.
5x=30
Add 9 and 21 to get 30.
x=\frac{30}{5}
Divide both sides by 5.
x=6
Divide 30 by 5 to get 6.
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}