First thing first you did not type your equation correct. What you should have done is
(3x-1)/(x+2) +(2X-1)/(x+4) this is a huge ask your math teacher to explain this to you!

What I am going to do is get common denominators
(3x-1)/(x+2) will be multiplied by (X+4)/(X+4) aka this is like multiplying by 1 which is allowed. So this will become

(3x^2+11X-4)/(x^2+6x+8)

I'll do the same thing on
(2X-1)/(x+4) but this time I'll do (x+2)/(x+2) which again is multiplying by 1.

this will give (2x^2+3x-4)/(x^2+6x+8)
so what we do now is bring both expressions together again.

(3x^2+11X-4)/(x^2+6x+8) +(2x^2+3x-4)/(x^2+6x+8) => they both have common denominators so I can add the top parts together.

and the final answer is
(5x^2 + 14x-6) / (x^2 +6x +8)

Conclusion the way you do it is by fiddling with numbers until you get from what you are given as a starting point to what they want as a finishing point. You know this since you have no = sign. But all changes you do need to be allowed in the math laws.

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