Solve for x
x=24
Graph
Share
Copied to clipboard
120x\times \frac{1}{60}+120x\times \frac{1}{40}=120
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 120x, the least common multiple of 60,40,x.
\frac{120}{60}x+120x\times \frac{1}{40}=120
Multiply 120 and \frac{1}{60} to get \frac{120}{60}.
2x+120x\times \frac{1}{40}=120
Divide 120 by 60 to get 2.
2x+\frac{120}{40}x=120
Multiply 120 and \frac{1}{40} to get \frac{120}{40}.
2x+3x=120
Divide 120 by 40 to get 3.
5x=120
Combine 2x and 3x to get 5x.
x=\frac{120}{5}
Divide both sides by 5.
x=24
Divide 120 by 5 to get 24.
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}