Solve for x
x=\frac{2}{73}\approx 0.02739726
Graph
Share
Copied to clipboard
24x-3\left(5x-6\right)+4\left(x-5\right)=-60x
Multiply both sides of the equation by 12, the least common multiple of 4,3.
24x-15x+18+4\left(x-5\right)=-60x
Use the distributive property to multiply -3 by 5x-6.
9x+18+4\left(x-5\right)=-60x
Combine 24x and -15x to get 9x.
9x+18+4x-20=-60x
Use the distributive property to multiply 4 by x-5.
13x+18-20=-60x
Combine 9x and 4x to get 13x.
13x-2=-60x
Subtract 20 from 18 to get -2.
13x-2+60x=0
Add 60x to both sides.
73x-2=0
Combine 13x and 60x to get 73x.
73x=2
Add 2 to both sides. Anything plus zero gives itself.
x=\frac{2}{73}
Divide both sides by 73.
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}