Question

1) 4x+5= 2х- 7 2)5х-7 = 133) 3(x+2) = 2(x+2)4) 2x - 4= 8+2x5) 4x+6= 2(2x+3)6) 3x +4= 7х-87) 2x-3 = 103) 2(x + 1) = 3(x+1)9) 3x - 5= 3 + 3x10) 3x + 6 = 3(x+2)​

Answer 1

Ответ:

1)4x+5=2x-7

4x-2x=-7-5

2x=-12

x=-6

2)5x-7=13

5x=13+7

5x=20

x=4

3)3(x+2)=2(x+2)

3x+6=2x+4

3x-2x=4-6

x=-2

4)2x-4=8+2x

2x-2x=8+4

x=12

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

4x+6=4x+6

4x-4x=6-6

x=0

6)3x+4=7x-8

4+8=7x-3x

12=4x

4x=3

7)2x-3=10

2x=10+3

2x=13

x=6.5

8)2(x+1)=3(x+1)

2x+2=3x+3

2-3=3x-2x

x=-1

9)3x-5=3+3x

3x-3x=3+5

x=8

10)3x+6=3(x+2)

3x+6=3x+6

3x-3x=6-6

x=0

Пошаговое объяснение:

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Answer 2

Let's solve each of these equations step by step:

1. 4x + 5 = 2x - 7 Subtract 2x from both sides: 4x - 2x + 5 = -7 2x + 5 = -7 Subtract 5 from both sides: 2x = -7 - 5 2x = -12 Divide by 2: x = -12 / 2 x = -6

2. 5x - 7 = 13 Add 7 to both sides: 5x - 7 + 7 = 13 + 7 5x = 20 Divide by 5: x = 20 / 5 x = 4

3. 3(x + 2) = 2(x + 2) Distribute on both sides: 3x + 6 = 2x + 4 Subtract 2x from both sides: 3x - 2x + 6 = 2x - 2x + 4 x + 6 = 4 Subtract 6 from both sides: x + 6 - 6 = 4 - 6 x = -2

4. 2x - 4 = 8 + 2x Subtract 2x from both sides: 2x - 2x - 4 = 8 + 2x - 2x -4 = 8 This equation has no solution because -4 is not equal to 8.

5. 4x + 6 = 2(2x + 3) Distribute on the right side: 4x + 6 = 4x + 6 Subtract 4x from both sides: 4x - 4x + 6 = 4x - 4x + 6 6 = 6 This equation is an identity, which means it is true for all real values of x.

6. 3x + 4 = 7x - 8 Subtract 3x from both sides: 3x - 3x + 4 = 7x - 3x - 8 4 = 4 This equation is an identity and is true for all real values of x.

7. 2x - 3 = 10 Add 3 to both sides: 2x - 3 + 3 = 10 + 3 2x = 13 Divide by 2: x = 13 / 2 x = 6.5

8. 2(x + 1) = 3(x + 1) Distribute on both sides: 2x + 2 = 3x + 3 Subtract 2x from both sides: 2x - 2x + 2 = 3x - 2x + 3 2 = x + 3 Subtract 3 from both sides: 2 - 3 = x + 3 - 3 -1 = x

9. 3x - 5 = 3 + 3x Subtract 3x from both sides: 3x - 3x - 5 = 3 + 3x - 3x -5 = 3 This equation has no solution because -5 is not equal to 3.

10. 3x + 6 = 3(x + 2) Distribute on the right side: 3x + 6 = 3x + 6 Subtract 3x from both sides: 3x - 3x + 6 = 3x - 3x + 6 6 = 6 This equation is an identity and is true for all real values of x.