Solve for x
x = \frac{18}{5} = 3\frac{3}{5} = 3.6
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4\left(2x-3\right)=3\left(x+2\right)
Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by 4\left(x+2\right), the least common multiple of x+2,4.
8x-12=3\left(x+2\right)
Use the distributive property to multiply 4 by 2x-3.
8x-12=3x+6
Use the distributive property to multiply 3 by x+2.
8x-12-3x=6
Subtract 3x from both sides.
5x-12=6
Combine 8x and -3x to get 5x.
5x=6+12
Add 12 to both sides.
5x=18
Add 6 and 12 to get 18.
x=\frac{18}{5}
Divide both sides by 5.
Examples
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{ 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}