Question

Okay due at noon today, I need help on 11 questions: were doing variables on both sides and learning on how to solve for x, no solutions and Infinite solutions. Also need to show work please.

problems:
1: -3-3=-4(2x+7)
2: 8x+3=8x+27
3: 2(x-4)=7-3x
4: 6(x-6)+4=-32+6x
5: -2x-40=8(1-x)
6: -9-8x=-2(7+4x)
7: 2x+8=2(x+4)
8: x-20=5(7x-4)
9: -4(8+7x=-10-6x
10: 28=+ 8x = 8(x+3) +2
11: -35-7x=-7(x=5)

Answer 1

1: x = -2.75

2: No Solutions

3: x = 3

4: Infinite Solutions

5: x = 8

6: No Solutions

7: Infinite Solutions

8: No Solutions

9: x = -1

10: No Solutions

11: Infinite Solutions

Explanation:

1)

`-3-3= -4(2x+7)\\-6= -8x-28\\22= -8x\\x= -2.75`

2)

`8x+3=8x+27\\0x+3=27\\0x=24\\x = No Solutions`

3)

`8x+3=8x+27\\2x-8=7-3x\\5x-8=7\\5x=15\\x=3`

4)

`6(x-6)+4= -32+6x\\6x-32= -32+6x\\0=0\\x = Infinite Solutions`

5)

`-2x-40=8(1-x)\\-2x-40=8-8x\\6x-40=8\\6x=48\\x=8`

6)

`-9-8x=-2(7+4x)\\-9-8x=-14-8x\\-8x=-5-28x\\x= No Solutions`

7)

`2x+8=2(x+4)\\2x+8=2x+8\\0=0\\x = Infinite Solutions`

8)

`x-20=5(7x-4)\\x-20=35x-20\\-34x=0\\x = No Solutions`

9)

`-4(8+7x)=-10-6x\\-32-28x=-10-6x\\-22x=22\\x = -1`

10)

`28+8x = 8(x+3) +2\\28+8x=8x+26\\0=-2\\x = No Solutions`

11)

`-35-7x=-7(x+5)\\-35-7x=-7x-35\\0=0\\x = Infinite Solutions`