I could use a little help with this one. i'm rusty.
-3(x+2)-7 = 5x + 7

-3(x+2)-7 = 5x + 7

-3x - 6 - 7 = 5x + 7

-3x - 13 = 5x + 7

-20 = 8x

x = -2.5

Exact form = x=-5/2

Decimal form = x=-2.5

Mixed number form = x=-2 1/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

-3(x+2)-7 = 5x + 7

-3x - 6 - 7 = 5x + 7

-3x - 13 = 5x + 7

-20 = 8x

  Divide both sides by 8 to get x by itself

cheater

step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.