Solve for x
x=12
Graph
Share
Copied to clipboard
12\times 5+12x\times \frac{1}{3}=9x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 12x, the least common multiple of x,3,4.
60+12x\times \frac{1}{3}=9x
Multiply 12 and 5 to get 60.
60+\frac{12}{3}x=9x
Multiply 12 and \frac{1}{3} to get \frac{12}{3}.
60+4x=9x
Divide 12 by 3 to get 4.
60+4x-9x=0
Subtract 9x from both sides.
60-5x=0
Combine 4x and -9x to get -5x.
-5x=-60
Subtract 60 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-60}{-5}
Divide both sides by -5.
x=12
Divide -60 by -5 to get 12.
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}