How to simplify? -5x - 25 = -28 and 1/3?

-5x-25=-28 1/3

-(5x+25)=-28 1/3 (Taking minus common on LHS)

Now cancel minus sign on both sides which will give you
5x+25=85/3 (Converting the mixed fraction)

5x=(85/3)-25

5x=(10/3) (Taking LCM and subtracting)

x=10/15

x=2/3

- 5x - 25 = - 28 1/3
5x = - 25 + 28 1/3
5x = - 75/3 + 85/3
5x = 10/3
x = 10/15 or 2/3

Answer: x = 2/3

Proof:
- 5(2/3) - 25 = - 28 1/3
- 10/3 - 75/3 = - 28 1/3
- 85/3 = - 28 1/3
- 28 1/3 = - 28 1/3

-5x - 25 = -28 ⅓
-5x = 25 - 28 ⅓
-5x = - 3 ⅓
-5x = - 10/3
x = (-10/3) / (-5)
x = 2/3

-5x - 25 = -28 1/3
1. Convert mixed number (28 1/3) into an improper fraction:
28 + 1/3 = 28*3/3 + 1/3 = 85/3

-5x - 25 = -85/3

2. Multiply the whole equation by -3 to remove the fractions and negative numbers

-5x(-3) - 25(-3) = -85/3(-3)

15x+75 = 85

3. Subtract 75 from both sides to isolate the x term:
15x+75-75 = 85-75

15x = 10

4. Solve for x by dividing by 15

15x/15 = 10/15

x = 10/15 = 2/3

x=2/3

-28 1/3 = -85/3

Multiply through by -3

15x + 75 = 85

Subtract 75 from both sides

15x + 75 - 75 = 85 - 75

15x = 10

15x/15 = 10/15

x = 10/15 = 2/3

- 5x - 25 = - 85 / 3
- 5 x = 75 / 3 - 85 / 3
- 5 x = - 10 / 3
x = 2 / 3

-5x - 25 = -28 1/3
-5x = -28 1/3 + 25
-5x = (3 * -28 - 1)/3 + 75/3
-5x = -85/3 + 75/3
-5x = -10/3
x = (-10/3)/(-5)
x = (-10/3)(-1/5)
x = 2/3

-5x - 25 = -28
5x + 25 = 28
x + 5 = 5 3/5
x = 3/5

-5x - 25 = 1/3
5x + 25 = = -1/3
x + 5 = 1/15
x = -74/15
x = - 4 14/15

The first example does everything in one. You first combine like terms together meaning add or subtract the x squared's and the x's and the whole numbers to get -1x^2+9 then you can take a negative one out meaning you set the -1 outside the parentheses to get -1(x^2-9) and the 9 because of the distributive property. Whne you multiply two negatives it becomes a positive. then you can factor the x^2-9. Whenever a factor looks like this you will find the two numbers that multiply together to get that number. so your final answer will be -1(x+3)(x-3). However in the case of a quadratic like x^2+2x-3 you can use the quadratic formula to get the two factors or decide what adds up to the second number and multiplys to be the third. Hope this helps some???

Not meaning to be catty, but if Gavin's Mommy is really Gavin's Mommy, where is Gavin? Are you taking elementary algebra or is he? If the second, let Gavin submit the questions.
Add 25 to both sides to get -5x = -3&1/3. Multiply by -1and convert to an improper fraction to get
5x= 10/3
Divide both sides by 5 to get
x = 10/( 15) = 2/3
You can check this out.