What is (3x+6)/(4x+7)+(-5x-3)/(4x+7) ?

The solution to (3x+6)/(4x+7)+(-5x-3)/(4x+7) is (-2x+3)/(4x+7)

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simplify (3x+6)/(4x+7)+(-5x-3)/(4x+7)

simplify

\frac{3 x + 6}{4 x + 7} + \frac{- 5 x - 3}{4 x + 7}

\frac{- 2 x + 3}{4 x + 7}

Solution steps

\frac{3 x + 6}{4 x + 7} + \frac{- 5 x - 3}{4 x + 7}

Apply the fraction rule:

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

= \frac{3 x + 6 - 5 x - 3}{4 x + 7}

Simplify

3 x + 6 - 5 x - 3 : - 2 x + 3

= \frac{- 2 x + 3}{4 x + 7}

+ 14 4^{\frac{1}{2}}

\frac{8 - 11 i}{1 - 2 i}

3 i (8 - 3 i)

10 x^{2} - x - 21

- 4 + \frac{2}{5}

What is (3x+6)/(4x+7)+(-5x-3)/(4x+7) ?
The solution to (3x+6)/(4x+7)+(-5x-3)/(4x+7) is (-2x+3)/(4x+7)