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

The solution to (x+2)/5+(2x-1)/3 is (13x+1)/(15)

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

simplify

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

\frac{13 x + 1}{15}

Solution steps

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

Least Common Multiplier of

5, 3 : 15

Adjust Fractions based on the LCM

= \frac{( x + 2 ) \cdot 3}{15} + \frac{( 2 x - 1 ) \cdot 5}{15}

Apply the fraction rule:

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

= \frac{( x + 2 ) \cdot 3 + ( 2 x - 1 ) \cdot 5}{15}

Simplify

(x + 2) \cdot 3 + (2 x - 1) \cdot 5 : 13 x + 1

= \frac{13 x + 1}{15}

a c x^{2} + (a d + b c) x y + b d y^{2}

2 (3 x + 4) + 2 (8 x - 6)

\frac{3}{x - 4} + \frac{5}{x + 7}

\frac{75}{1000}

a \cdot a^{- 5}