Solve for x
x=10
Graph
Share
Copied to clipboard
30x+20x-15x+12x=10\left(7\times 6+5\right)
Multiply both sides of the equation by 60, the least common multiple of 2,3,4,5,6.
50x-15x+12x=10\left(7\times 6+5\right)
Combine 30x and 20x to get 50x.
35x+12x=10\left(7\times 6+5\right)
Combine 50x and -15x to get 35x.
47x=10\left(7\times 6+5\right)
Combine 35x and 12x to get 47x.
47x=10\left(42+5\right)
Multiply 7 and 6 to get 42.
47x=10\times 47
Add 42 and 5 to get 47.
47x=470
Multiply 10 and 47 to get 470.
x=\frac{470}{47}
Divide both sides by 47.
x=10
Divide 470 by 47 to get 10.
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}