Multiply both fractions by (x-3)(x+4)

to get

6(x+4) - 8(x-3) all over the denominator (x-3)(x+4)

expand and combine like terms

6x+24 -8x +24 = -2x+48 = 2(-x+14)

You might want to factor out a 2, and rearrange terms to eliminate the negative sign, getting

a final fraction of

2(24-x)/(x-3)(x+4)

in the original two fractions or the combined single fraction the restrictions

are no denominator can be zero. That excludes x as 3 or -4

Raymond B.

05/04/20

David M.

05/04/20