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

The solution to 3/(2x)+2/(x-4) is (7x-12)/(2x(x-4))

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

simplify

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

\frac{7 x - 12}{2 x ( x - 4 )}

Solution steps

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

Least Common Multiplier of

2 x, x - 4 : 2 x (x - 4)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

3 (x - 4) + 4 x : 7 x - 12

= \frac{7 x - 12}{2 x ( x - 4 )}

12 \times 27

2 x - 6 y

e^{- i 4 π}

2 \times 20

2 \times 14