What is (5x+3)/6-(-6x+9)/6 ?

The solution to (5x+3)/6-(-6x+9)/6 is (11x-6)/6

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simplify (5x+3)/6-(-6x+9)/6

simplify

\frac{5 x + 3}{6} - \frac{- 6 x + 9}{6}

\frac{11 x - 6}{6}

Solution steps

\frac{5 x + 3}{6} - \frac{- 6 x + 9}{6}

Cancel

\frac{- 6 x + 9}{6} : \frac{- 2 x + 3}{2}

= \frac{5 x + 3}{6} - \frac{- 2 x + 3}{2}

Least Common Multiplier of

6, 2 : 6

Adjust Fractions based on the LCM

= \frac{5 x + 3}{6} - \frac{( - 2 x + 3 ) \cdot 3}{6}

Apply the fraction rule:

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

= \frac{5 x + 3 - ( - 2 x + 3 ) \cdot 3}{6}

Simplify

5 x + 3 - (- 2 x + 3) \cdot 3 : 11 x - 6

= \frac{11 x - 6}{6}

\frac{32}{27}

(x) (x - 1)

6 x \cdot 6 x

(1 0^{- 2})^{2}

lo g_{4} (64) + lo g_{8} (64)