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Please help me with this it's worth 80 points

and please show all work
3x - 4 + 6x = -31

17 = 3x - 10

2x + 6 = 4x - 8

17x - 5(3x - 11) = 41

5x - (3x - 6) = 18

6x - 3(4 - 5x) = 30

x - (-5) = 7

1 Answer

4 votes

This is a lot of questions-

I did them all on a calculator.

1.)

3x - 4 + 6x = -31

3x + 6x - 4 = -31

9x - 4 = -31

9x = -27

Answer: x= -3

2.)

17 = 3x - 10

3x -10 = 17

-10 = -10

3x = 27

divide both sides by 3

Answer: x= 9

3.)

2x + 6 = 4x - 8

-6 = -6

2x = 4x -14

-4x (both sides)

-2x = -14

divide both sides by -2

Answer: x = 7

4.)

17x - 5(3x - 11) = 41

2x +55 = 41

-55 (both sides)

2x = -14

divide 2 both sides

Answer: x = -7

5.)

5x - (3x - 6) = 18

2x + 6 = 18

-6 both sides

2x = 12

divide both sides by 2

Answer: x = 6

6.)

6x - 3(4 - 5x) = 30

21 - 12 = 30

+12 boh sides

21x = 42

divide both sides by 21

Answer: x = 2

7.)

x - (-5) = 7

x + 5 = 7

-5 both sides

Answer: x = 2

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