Distributive property?

Question

can somebody plllease hellpp me with thiss because this stuff is verry haarrdd! annd umm can you give me each answer with the work shown on each onne cus my teacher told me i have to have it thhaankkkss soo muuch it would be a biig hellpp!

1.2x+3x=5 2. 10x-3x=20+1 3. 1/4x-x=-15 4. 3x+2(x+5)=0 5. 2(x-4)=2 6. 1/3(x+6)=1 7.5x+4-8x=13 8. 2-3(2-x)=8 9. 17=2(2x+9) 10. 15=2x-7 11. -2(x-4)=15 12. 8-5(x+3)=2 13. 2/3x-5=10 14. 4(x-1)+3=-5 15. 2x+3(x+2)=8

Answer 1

These are all simple algebraic manipulations.

Simply add the like terms and do the same to each side each:

2x+3x=5   [add the 2x and 3x to get 5x]

5x = 5 [divide both sides by 5]

x = 5/5

x=1

10x-3x=20+1  [add the 10x to the -3x to get 7x]

7x = 21  [divide both sides by 7]

x=21/7

x=3

etc.

1/4x-x=-15

-3/4 x = -15

3/4x=15

x = 15*(4/3)

x = 60/3

x = 20

Here's the first one with a distributive property to apply.

3x+2(x+5)=0  [expand 2(x+5) to be 2x +10]

3x+2x+10 =0 [Add the 3x and 2x to get 5x]

5x+10=0 [subtract 10 from both sides]

5x = -10

x = -10/5

x = -2

etc..

2(x-4)=2

2x - 8 = 2

2x = 2+8

2x = 10

x =10/2

x = 5

1/3(x+6)=1

x+6=3

x=3-6

x=-3

5x+4-8x=13

-3x+4 = 13

-3x = 9

x = 9/-3

x= -3

2-3(2-x)=8

2-6+3x=8

-4 + 3x =8

3x =8+4

3x=12

x=12/3

x=4

17=2(2x+9)

17=4x + 18

-1 = 4x

x = -1/4

15=2x-7

22 = 2x

x = 22/2

x = 11

-2(x-4)=15

-2x +8 = 15

-2x = 7

x = -7/2

x = -3 1/2

8-5(x+3)=2

8 - 5x - 4 = 2

4-5x = 2

5x = 2

x = 2/5

2/3x-5=10

2/3x=15

x=15*3/2

x = 45/2

x = 22 1/2

4(x-1)+3=-5

4x -4 + 3 = -5

4x -1 = -5

4x = -4

x = -1

2x+3(x+2)=8

2x +3x+6 =8

5x + 6= 8

5x = 2

x = 2/5

Answer 2

in the time it took you to type all that out you probably could have done like half of them

i mean at least try some before asking someone to do your homework for you.. one or two i understand, but 15? thats like a whole worksheet or something.

youll get no where in life asking other people to do your work

Answer 3

1.

2x+3x=5

5x=5

5x/5=5/5

x=1

2.

10x-3x=20+1

7x=21

7x/7=21/7

x=3

and thats all im doing cuz im guessing this is all your hwk :/ you should do the rest so that you learn this stuff, itll come in handy.

Answer 4

I'm not gonna go through and do your homework for you but I will do a few for an example. for 1. what you have to do is combine the like terms meaning it would make 5x=5 then divide both sides by 5 leaving you with x=1

2. 10x-3x=20+1  == 7x=21 since you are multiplying the 7 and want the x by itself just divide the 7 into the 21 leaving you with x=3.