What is (x-3)/(5x)+1/(x+2) ?

The solution to (x-3)/(5x)+1/(x+2) is (x^2+4x-6)/(5x(x+2))

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simplify (x-3)/(5x)+1/(x+2)

simplify

\frac{x - 3}{5 x} + \frac{1}{x + 2}

\frac{x ^{2} + 4 x - 6}{5 x ( x + 2 )}

Solution steps

\frac{x - 3}{5 x} + \frac{1}{x + 2}

Least Common Multiplier of

5 x, x + 2 : 5 x (x + 2)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

(x - 3) (x + 2) + 5 x : x^{2} + 4 x - 6

= \frac{x ^{2} + 4 x - 6}{5 x ( x + 2 )}

\frac{e ^{- 0.01} - 1}{- 0.01}

(2 a + 3 b - 4 c)^{2}

180 x^{8} y^{19}

\frac{37}{24}

(a + 1) (a^{2} - a + 1)

What is (x-3)/(5x)+1/(x+2) ?
The solution to (x-3)/(5x)+1/(x+2) is (x^2+4x-6)/(5x(x+2))