Question

How do you put this in simplest form?

Answer 1

(2x+7)-(3x-5) you first distribute the negative sign to the 3x-5, making the expression 2x+7-3x+5, which simplifies to -x+12

Answer 2

Ok so this is a polynomial  we are solving for so in this example we will have to set it up in box method and when I say that I mean 2x+7 on top and on the side or left hand side will be 3x-5 so lets solve so 2x times 3x is 6x^2 then on the right hand side we know 7 times 3x is 21x. Let's move on to the box on the bottom so now lets multiply 2x times -5 which is -10x then the last box we will have to multiply 7 times  -5 is -35. So now we have to combine like terms which means combining the x's and the constants . So we leave  6x^2 alone and add  -10x + 21x so since they have different signs we subtract which would result in 11x . Our final answer should be 6x^2+ 11x-35. Hoped this helped !! and remember to do the box formula to get credit