What is 2/x+3/(x+5) ?

The solution to 2/x+3/(x+5) is (5x+10)/(x(x+5))

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simplify 2/x+3/(x+5)

simplify

\frac{2}{x} + \frac{3}{x + 5}

\frac{5 x + 10}{x ( x + 5 )}

Solution steps

\frac{2}{x} + \frac{3}{x + 5}

Least Common Multiplier of

x, x + 5 : x (x + 5)

Adjust Fractions based on the LCM

= \frac{2 ( x + 5 )}{x ( x + 5 )} + \frac{3 x}{x ( x + 5 )}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{2 ( x + 5 ) + 3 x}{x ( x + 5 )}

Simplify

2 (x + 5) + 3 x : 5 x + 10

= \frac{5 x + 10}{x ( x + 5 )}

0 \times 2

5 x \times 2 x

4 4 - 23 + 97 - 563

lo g_{1} (7)

\frac{10 - 18}{2}