x-115x+12+8-2x15x+12

Combine the numerators over the common denominator.

x-1+8-2x15x+12

Subtract 2x from x.

-x-1+815x+12

Add -1 and 8.

-x+715x+12

Factor 3 out of 15x.

-x+73(5x)+12

Factor 3 out of 12.

-x+73(5x)+3(4)

Factor 3 out of 3(5x)+3(4).

-x+73(5x+4)

-x+73(5x+4)

Factor -1 out of -x.

-(x)+73(5x+4)

Rewrite 7 as -1(-7).

-(x)-1(-7)3(5x+4)

Factor -1 out of -(x)-1(-7).

-(x-7)3(5x+4)

Rewrite -(x-7) as -1(x-7).

-1(x-7)3(5x+4)

Move the negative in front of the fraction.

-x-73(5x+4)

-x-73(5x+4)

Add (x-1)/(15x+12)+(8-2x)/(15x+12)