What is 6/x-5/(x+3) ?

The solution to 6/x-5/(x+3) is (x+18)/(x(x+3))

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simplify 6/x-5/(x+3)

simplify

\frac{6}{x} - \frac{5}{x + 3}

\frac{x + 18}{x ( x + 3 )}

Solution steps

\frac{6}{x} - \frac{5}{x + 3}

Least Common Multiplier of

x, x + 3 : x (x + 3)

Adjust Fractions based on the LCM

= \frac{6 ( x + 3 )}{x ( x + 3 )} - \frac{5 x}{x ( x + 3 )}

Apply the fraction rule:

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

= \frac{6 ( x + 3 ) - 5 x}{x ( x + 3 )}

Simplify

6 (x + 3) - 5 x : x + 18

= \frac{x + 18}{x ( x + 3 )}

- 1 - x

2 \div \frac{3}{5}

3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3

- i - i

\frac{2}{4}