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18-6x
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18-6x
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6\left(\frac{x}{3}+\frac{3}{3}\right)-4\left(2x-3\right)
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{3}{3}.
6\times \frac{x+3}{3}-4\left(2x-3\right)
Since \frac{x}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.
2\left(x+3\right)-4\left(2x-3\right)
Cancel out 3, the greatest common factor in 6 and 3.
2x+6-4\left(2x-3\right)
Use the distributive property to multiply 2 by x+3.
2x+6-8x+12
Use the distributive property to multiply -4 by 2x-3.
-6x+6+12
Combine 2x and -8x to get -6x.
-6x+18
Add 6 and 12 to get 18.
6\left(\frac{x}{3}+\frac{3}{3}\right)-4\left(2x-3\right)
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{3}{3}.
6\times \frac{x+3}{3}-4\left(2x-3\right)
Since \frac{x}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.
2\left(x+3\right)-4\left(2x-3\right)
Cancel out 3, the greatest common factor in 6 and 3.
2x+6-4\left(2x-3\right)
Use the distributive property to multiply 2 by x+3.
2x+6-8x+12
Use the distributive property to multiply -4 by 2x-3.
-6x+6+12
Combine 2x and -8x to get -6x.
-6x+18
Add 6 and 12 to get 18.
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}