What is (2x+3)/6-(4x-7)/9 ?

The solution to (2x+3)/6-(4x-7)/9 is (-2x+23)/(18)

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simplify (2x+3)/6-(4x-7)/9

simplify

\frac{2 x + 3}{6} - \frac{4 x - 7}{9}

\frac{- 2 x + 23}{18}

Solution steps

\frac{2 x + 3}{6} - \frac{4 x - 7}{9}

Least Common Multiplier of

6, 9 : 18

Adjust Fractions based on the LCM

= \frac{( 2 x + 3 ) \cdot 3}{18} - \frac{( 4 x - 7 ) \cdot 2}{18}

Apply the fraction rule:

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

= \frac{( 2 x + 3 ) \cdot 3 - ( 4 x - 7 ) \cdot 2}{18}

Simplify

(2 x + 3) \cdot 3 - (4 x - 7) \cdot 2 : - 2 x + 23

= \frac{- 2 x + 23}{18}

(y^{2})^{\frac{3}{2}}

(x + y)^{3} + y^{3}

- \frac{2}{3} 9

\frac{60 x ^{2} y ^{3}}{12 x y}

3 x - 2 (x + 4)