Question

2) 2x + 1 + 3(x - 2) = 14; 4) 214 1012.1) -9. (2x - 7) + 17. (x - 1) = 0;2 -7.(2x - 3) + 5. (3x - 2) = 0; |3) 5(x+4)= 9 -124) 8 – 514 – 3x) = 18​

Answer 1

1. 2х+1+3(х-2)=14

2х+1+3х-6=14

2х+3х=14-1+6

5х=19

х=19:5

х=3,8

2. -9(2х-7)+17(х-1)=0

-18х+63+17х-17=0

-18х+17х=0-63

-1х=-63

х=63

3. -7(2х-3)+5(3х-2)=0

-14х+21+15х-10=0

-х=-21

х=21

4. 5(x+4)= 9-12

5х+20=-3

5х=-3-20

5х=-23

х=4,6

5. (8-514 – 3x)=18

-506-3х=18

-3х=18+506

-3х=524

х=524/3

х=174 2/3

Answer 2

To solve these equations, let's go through each one step by step:

1. 2x + 1 + 3(x - 2) = 14

Expand the parentheses:

2x + 1 + 3x - 6 = 14

Combine like terms:

5x - 5 = 14

Add 5 to both sides to isolate the variable term:

5x = 19

Now, divide by 5 to solve for x:

x = 19/5 or 3.8

2. (2x - 7) + 17(x - 1) = 0

Expand the parentheses:

2x - 7 + 17x - 17 = 0

Combine like terms:

19x - 24 = 0

Add 24 to both sides:

19x = 24

Now, divide by 19 to find x:

x = 24/19 or approximately 1.263

3. -7(2x - 3) + 5(3x - 2) = 0

Expand the parentheses:

-14x + 21 + 15x - 10 = 0

Combine like terms:

x + 11 = 0

Subtract 11 from both sides:

x = -11

4. 5(x + 4) = 9 - 12

Distribute the 5 on the left side:

5x + 20 = -3

Now, subtract 20 from both sides:

5x = -23

Finally, divide by 5 to find x:

x = -23/5 or -4.6

5. 8 - 5(14 - 3x) = 18

Distribute the 5 on the left side:

8 - 70 + 15x = 18

Combine like terms:

15x - 62 = 18

Add 62 to both sides:

15x = 80

Divide by 15 to find x:

x = 80/15 or 16/3 or approximately 5.333

Please double-check the solutions to ensure they are correct, as these calculations were performed manually. If you have any other questions or need further assistance, feel free to ask!