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How do you (x-1)/(2*x+3) in partial fractions?

An expression to simplify:

The solution

You have entered [src]
 x - 1 
-------
2*x + 3
$$\frac{x - 1}{2 x + 3}$$
(x - 1)/(2*x + 3)
Fraction decomposition [src]
1/2 - 5/(2*(3 + 2*x))
$$\frac{1}{2} - \frac{5}{2 \left(2 x + 3\right)}$$
1        5     
- - -----------
2   2*(3 + 2*x)
Numerical answer [src]
(-1.0 + x)/(3.0 + 2.0*x)
(-1.0 + x)/(3.0 + 2.0*x)
Common denominator [src]
1      5   
- - -------
2   6 + 4*x
$$\frac{1}{2} - \frac{5}{4 x + 6}$$
1/2 - 5/(6 + 4*x)