Evaluate
-\frac{21x}{50}+\frac{137}{150}
Expand
-\frac{21x}{50}+\frac{137}{150}
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\frac{12\left(2x+2\right)}{300}-\frac{5\left(-50+30x\right)}{300}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 25 and 60 is 300. Multiply \frac{2x+2}{25} times \frac{12}{12}. Multiply \frac{-50+30x}{60} times \frac{5}{5}.
\frac{12\left(2x+2\right)-5\left(-50+30x\right)}{300}
Since \frac{12\left(2x+2\right)}{300} and \frac{5\left(-50+30x\right)}{300} have the same denominator, subtract them by subtracting their numerators.
\frac{24x+24+250-150x}{300}
Do the multiplications in 12\left(2x+2\right)-5\left(-50+30x\right).
\frac{-126x+274}{300}
Combine like terms in 24x+24+250-150x.
\frac{12\left(2x+2\right)}{300}-\frac{5\left(-50+30x\right)}{300}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 25 and 60 is 300. Multiply \frac{2x+2}{25} times \frac{12}{12}. Multiply \frac{-50+30x}{60} times \frac{5}{5}.
\frac{12\left(2x+2\right)-5\left(-50+30x\right)}{300}
Since \frac{12\left(2x+2\right)}{300} and \frac{5\left(-50+30x\right)}{300} have the same denominator, subtract them by subtracting their numerators.
\frac{24x+24+250-150x}{300}
Do the multiplications in 12\left(2x+2\right)-5\left(-50+30x\right).
\frac{-126x+274}{300}
Combine like terms in 24x+24+250-150x.
Examples
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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}