Can anyone answer these Math questions with details on how you got the answer yuky?

Question

When solving for x, show all operation steps followed by results of performing those operations (show that you are adding four to both sides, then on the next line show the result of that operation). When the line you’re typing is an equation, you should not start the line with an extra leading equals sign.

1. Name the property of real numbers illustrated below. Be specific with the naming (include “of addition” or “of multiplication,” if applicable).
7 + 13 = 13 + 7

2. Combine like terms:
7x2 + 9x – 4x2 – 2 + 6x – 2x2 + 8

3. Solve for x:
8x – 2 = -2x + 18

4. Solve for x:
2(2x – 5) + 1 = x – 8 – 5x

5. Solve for x:
(x – 7)/5 – 5/2 = (x + 9)/10

6. Translate to an algebra statement; do not solve:
Three times the difference of five and a twice a number yields the same result as the same number increased by four.

Answer 1

1) Addition !

2) 7x^2 + 9x - 4x^2 - 2 + 6x - 2x^2 +8

7x^2 - 4x^2 - 2x^2 + 9x + 6x + 8 - 2

7x^2 - 6x^2 + 15x + 4

x^2 +15x + 4

3) 8x - 2 = -2x + 18

8x +2x = 18 + 2

10x = 20

x = 20 / 10

x = 2

4) 2(2x - 5) + 1 = x - 8 - 5x

2(2x - 5) = x - 5x - 8 - 1

2(2x - 5) = -4x - 9

4x - 10 = -4x - 9

4x + 4x = 10 - 9

8x = 8

x = 8 /8

x = 1

5) (x - 7) / 5 - 5 / 2 = (x + 9) / 10

Taking LCM,

[2(x - 7) - 25] / 10 = (x + 9) / 10

Multiplying by 10 on both sides,

2(x - 7) - 25 = x + 9

2x - 14 - 25 = x + 9

2x - 39 = x + 9

2x - x = 39 + 9

x = 48

6) 2x - 15 = x + 4

Answer 2

1. additive inverse property
2. x2+15x+6
3. 8x+2x=2+18
10x=20 (divide by 10)
x=2
4. 4x-10+1=x-8-5x
4x+5x-x=10-1-8
8x=1 (divide by 8)
x=1/8
5. (x-7).2/5.2-5.5/5.2=x+9/10
2x-14/10-25/10=x+9/10
2x-39/10=x+9/10 because the dominator is equal then the nominator is equal
so 2x-39=x+9
2x-x=39+9
x=48

Answer 3

1. Commutative property w.r.t. addition
2. x^2+15x+6
3. 8x+2x=18+2
10x=20
x=2
4. 4x-10+1= -8-4x
8x=1
x=1/8
5. [2(x-7)-(5x5)]/10=(x+9)/10
2x-14-25=x+9
x=48
6. 3(2x-5)=x+4

Answer 4

hey hope this helps ya.

1. commutative property

2. x2+15x+6 - just take 7x2 and minus it by 4x2 and 2x2 and then take 9x and minus it by 6x and take -2 and add it to 8.

3. x=10 take and add neg 2x to the other side so it cancels out with its same one...then take the -2 and add it to eight on the other side. so you get 10x=20 divide by ten to get ten

4.i think it comes out to be a fraction.

5. are you sure that this is the problem because it does not look right.

6. 3(5-2x)= x+4

i am really good at math if you need anymore help. let me know. :)