Solve for x
x = \frac{79}{36} = 2\frac{7}{36} \approx 2.194444444
Graph
Share
Copied to clipboard
3\left(4-3\right)-30\left(x-2\right)=2\left(3x-2\right)-12
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3\times 1-30\left(x-2\right)=2\left(3x-2\right)-12
Subtract 3 from 4 to get 1.
3-30\left(x-2\right)=2\left(3x-2\right)-12
Multiply 3 and 1 to get 3.
3-30x+60=2\left(3x-2\right)-12
Use the distributive property to multiply -30 by x-2.
63-30x=2\left(3x-2\right)-12
Add 3 and 60 to get 63.
63-30x=6x-4-12
Use the distributive property to multiply 2 by 3x-2.
63-30x=6x-16
Subtract 12 from -4 to get -16.
63-30x-6x=-16
Subtract 6x from both sides.
63-36x=-16
Combine -30x and -6x to get -36x.
-36x=-16-63
Subtract 63 from both sides.
-36x=-79
Subtract 63 from -16 to get -79.
x=\frac{-79}{-36}
Divide both sides by -36.
x=\frac{79}{36}
Fraction \frac{-79}{-36} can be simplified to \frac{79}{36} by removing the negative sign from both the numerator and the denominator.
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}