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\frac{5x-4+x}{2}+4
Since \frac{5x-4}{2} and \frac{x}{2} have the same denominator, add them by adding their numerators.
\frac{6x-4}{2}+4
Combine like terms in 5x-4+x.
-2+3x+4
Divide each term of 6x-4 by 2 to get -2+3x.
2+3x
Add -2 and 4 to get 2.
\frac{5x-4+x}{2}+4
Since \frac{5x-4}{2} and \frac{x}{2} have the same denominator, add them by adding their numerators.
\frac{6x-4}{2}+4
Combine like terms in 5x-4+x.
-2+3x+4
Divide each term of 6x-4 by 2 to get -2+3x.
2+3x
Add -2 and 4 to get 2.
Examples
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y = 3x + 4
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Matrix
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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}