What is 5/(3x+2)+3/(2-4x) ?

The solution to 5/(3x+2)+3/(2-4x) is (11x-16)/(2(3x+2)(2x-1))

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simplify 5/(3x+2)+3/(2-4x)

simplify

\frac{5}{3 x + 2} + \frac{3}{2 - 4 x}

\frac{11 x - 16}{2 ( 3 x + 2 ) ( 2 x - 1 )}

Solution steps

\frac{5}{3 x + 2} + \frac{3}{2 - 4 x}

Least Common Multiplier of

3 x + 2, 2 - 4 x : 2 (3 x + 2) (2 x - 1)

Adjust Fractions based on the LCM

= \frac{10 ( 2 x - 1 )}{2 ( 3 x + 2 ) ( 2 x - 1 )} + \frac{3 ( - 3 x - 2 )}{2 ( 3 x + 2 ) ( 2 x - 1 )}

Apply the fraction rule:

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

= \frac{10 ( 2 x - 1 ) + 3 ( - 3 x - 2 )}{2 ( 3 x + 2 ) ( 2 x - 1 )}

Simplify

10 (2 x - 1) + 3 (- 3 x - 2) : 11 x - 16

= \frac{11 x - 16}{2 ( 3 x + 2 ) ( 2 x - 1 )}

\frac{0}{e ^{0}}

2^{- 5} \times 8^{3}

1 6^{l o g_{4} (7)}

d^{9} + 64

(3 m + 5)^{2}

What is 5/(3x+2)+3/(2-4x) ?
The solution to 5/(3x+2)+3/(2-4x) is (11x-16)/(2(3x+2)(2x-1))