Solve for x
x=\frac{22}{29}\approx 0.75862069
Graph
Share
Copied to clipboard
30x-5\left(2-x\right)=6\left(x+2\right)
Multiply both sides of the equation by 30, the least common multiple of 6,5.
30x-10+5x=6\left(x+2\right)
Use the distributive property to multiply -5 by 2-x.
35x-10=6\left(x+2\right)
Combine 30x and 5x to get 35x.
35x-10=6x+12
Use the distributive property to multiply 6 by x+2.
35x-10-6x=12
Subtract 6x from both sides.
29x-10=12
Combine 35x and -6x to get 29x.
29x=12+10
Add 10 to both sides.
29x=22
Add 12 and 10 to get 22.
x=\frac{22}{29}
Divide both sides by 29.
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}