Solve for x
x = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333
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x+2-2\left(2x-3\right)-3\left(x-2\right)=0
Multiply both sides of the equation by 6, the least common multiple of 6,3,2.
x+2-4x+6-3\left(x-2\right)=0
Use the distributive property to multiply -2 by 2x-3.
-3x+2+6-3\left(x-2\right)=0
Combine x and -4x to get -3x.
-3x+8-3\left(x-2\right)=0
Add 2 and 6 to get 8.
-3x+8-3x+6=0
Use the distributive property to multiply -3 by x-2.
-6x+8+6=0
Combine -3x and -3x to get -6x.
-6x+14=0
Add 8 and 6 to get 14.
-6x=-14
Subtract 14 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-14}{-6}
Divide both sides by -6.
x=\frac{7}{3}
Reduce the fraction \frac{-14}{-6} to lowest terms by extracting and canceling out -2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}