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

The solution to (x-2)/4+(3x+2)/6 is (9x-2)/(12)

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

simplify

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

\frac{9 x - 2}{12}

Solution steps

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

Least Common Multiplier of

4, 6 : 12

Adjust Fractions based on the LCM

= \frac{( x - 2 ) \cdot 3}{12} + \frac{( 3 x + 2 ) \cdot 2}{12}

Apply the fraction rule:

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

= \frac{( x - 2 ) \cdot 3 + ( 3 x + 2 ) \cdot 2}{12}

Simplify

(x - 2) \cdot 3 + (3 x + 2) \cdot 2 : 9 x - 2

= \frac{9 x - 2}{12}

(x - 6) (x - 3)

(3 x + 2) (3 x^{2} + x + 4)

2 \div \frac{3}{4}

4 - 2 x

(2^{2})^{5}