Solve for x
x = \frac{17}{3} = 5\frac{2}{3} \approx 5.666666667
Graph
Share
Copied to clipboard
4\left(3x-7\right)=3\left(2x+2\right)
Multiply both sides of the equation by 12, the least common multiple of 3,4.
12x-28=3\left(2x+2\right)
Use the distributive property to multiply 4 by 3x-7.
12x-28=6x+6
Use the distributive property to multiply 3 by 2x+2.
12x-28-6x=6
Subtract 6x from both sides.
6x-28=6
Combine 12x and -6x to get 6x.
6x=6+28
Add 28 to both sides.
6x=34
Add 6 and 28 to get 34.
x=\frac{34}{6}
Divide both sides by 6.
x=\frac{17}{3}
Reduce the fraction \frac{34}{6} to lowest terms by extracting and canceling out 2.
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}