Solve for x
x=4
Graph
Share
Copied to clipboard
6\left(3x-2\right)=5\left(2x+4\right)
Multiply both sides of the equation by 30, the least common multiple of 5,6.
18x-12=5\left(2x+4\right)
Use the distributive property to multiply 6 by 3x-2.
18x-12=10x+20
Use the distributive property to multiply 5 by 2x+4.
18x-12-10x=20
Subtract 10x from both sides.
8x-12=20
Combine 18x and -10x to get 8x.
8x=20+12
Add 12 to both sides.
8x=32
Add 20 and 12 to get 32.
x=\frac{32}{8}
Divide both sides by 8.
x=4
Divide 32 by 8 to get 4.
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}