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\frac{1}{2}\times 2x+\frac{1}{2}\times 4-\left(2x-3\right)
Use the distributive property to multiply \frac{1}{2} by 2x+4.
x+\frac{1}{2}\times 4-\left(2x-3\right)
Cancel out 2 and 2.
x+\frac{4}{2}-\left(2x-3\right)
Multiply \frac{1}{2} and 4 to get \frac{4}{2}.
x+2-\left(2x-3\right)
Divide 4 by 2 to get 2.
x+2-2x-\left(-3\right)
To find the opposite of 2x-3, find the opposite of each term.
x+2-2x+3
The opposite of -3 is 3.
-x+2+3
Combine x and -2x to get -x.
-x+5
Add 2 and 3 to get 5.
\frac{1}{2}\times 2x+\frac{1}{2}\times 4-\left(2x-3\right)
Use the distributive property to multiply \frac{1}{2} by 2x+4.
x+\frac{1}{2}\times 4-\left(2x-3\right)
Cancel out 2 and 2.
x+\frac{4}{2}-\left(2x-3\right)
Multiply \frac{1}{2} and 4 to get \frac{4}{2}.
x+2-\left(2x-3\right)
Divide 4 by 2 to get 2.
x+2-2x-\left(-3\right)
To find the opposite of 2x-3, find the opposite of each term.
x+2-2x+3
The opposite of -3 is 3.
-x+2+3
Combine x and -2x to get -x.
-x+5
Add 2 and 3 to get 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}