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

Math
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+12.
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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)
Simplify the expression.
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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)

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