Solve for x
x = \frac{14}{5} = 2\frac{4}{5} = 2.8
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2\left(x-2\right)+3\left(x-3\right)=1
Multiply both sides of the equation by 6, the least common multiple of 3,2,6.
2x-4+3\left(x-3\right)=1
Use the distributive property to multiply 2 by x-2.
2x-4+3x-9=1
Use the distributive property to multiply 3 by x-3.
5x-4-9=1
Combine 2x and 3x to get 5x.
5x-13=1
Subtract 9 from -4 to get -13.
5x=1+13
Add 13 to both sides.
5x=14
Add 1 and 13 to get 14.
x=\frac{14}{5}
Divide both sides by 5.
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}