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

The solution to (x-2)/3-(x+2)/2 is (-x-10)/6

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

simplify

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

\frac{- x - 10}{6}

Solution steps

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

Least Common Multiplier of

3, 2 : 6

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

(x - 2) \cdot 2 - (x + 2) \cdot 3 : - x - 10

= \frac{- x - 10}{6}

(5 x^{6} - 2 x^{4} + 9 x^{3} + 2 x - 4) - (7 x^{5} - 8 x^{4} + 2 x - 11)

(x + 12) (x - 12)

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

\frac{3}{10}

3 \times 5