Solve for x
x=2
Graph
Share
Copied to clipboard
7\left(3x-2\right)=4\left(2x+3\right)
Variable x cannot be equal to -\frac{3}{2} since division by zero is not defined. Multiply both sides of the equation by 7\left(2x+3\right), the least common multiple of 2x+3,7.
21x-14=4\left(2x+3\right)
Use the distributive property to multiply 7 by 3x-2.
21x-14=8x+12
Use the distributive property to multiply 4 by 2x+3.
21x-14-8x=12
Subtract 8x from both sides.
13x-14=12
Combine 21x and -8x to get 13x.
13x=12+14
Add 14 to both sides.
13x=26
Add 12 and 14 to get 26.
x=\frac{26}{13}
Divide both sides by 13.
x=2
Divide 26 by 13 to get 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}