Question

1) 3х + 45 = 2х + 15 2) – 8х = - 8 3) 2х – 3 = 5 4) 3х + 1 = х + 3 5) 3х = - 18 6) 5х + 4 = х – 12 7) 7х + 3 = 3х + 11 8) – 7х = 21 9) 3х – 8 = 2х – 1 10) 32х = - 16

Answer 1

Ответ:

Пошаговое объяснение:

1)3x-2x=15-45

x= -30

2)-8x=-8

x=1

3)2x=8

x=4

4)3x+1=x+3

2x=2

x=1

5)3x=-18

x=-18/3

x=-6

6)5x+4=x-12

4x=-16

x=-4

7)7x-3x=-3+11

4x=8

x=2

8)-7x=21

x=21/(-7)

x=-3

9)3x-8=2x-1

3x-2x=8-1

x=7

10)32x=-16

x=-16/32

x=-1/2

x=-0.5

Answer 2

Let's solve each of the given equations:

1. 3x + 45 = 2x + 15

To solve for x, we need to isolate the variable on one side of the equation.

Subtracting 2x from both sides: 3x - 2x + 45 = 2x - 2x + 15 x + 45 = 15

Subtracting 45 from both sides: x + 45 - 45 = 15 - 45 x = -30

So the solution to the equation is x = -30.

2. -8x = -8

Dividing both sides by -8 (to isolate x): (-8x)/(-8) = (-8)/(-8) x = 1

The solution to the equation is x = 1.

3. 2x - 3 = 5

Adding 3 to both sides: 2x - 3 + 3 = 5 + 3 2x = 8

Dividing both sides by 2: (2x)/2 = 8/2 x = 4

The solution to the equation is x = 4.

4. 3x + 1 = x + 3

Subtracting x from both sides: 3x - x + 1 = x - x + 3 2x + 1 = 3

Subtracting 1 from both sides: 2x + 1 - 1 = 3 - 1 2x = 2

Dividing both sides by 2: (2x)/2 = 2/2 x = 1

The solution to the equation is x = 1.

5. 3x = -18

Dividing both sides by 3: (3x)/3 = (-18)/3 x = -6

The solution to the equation is x = -6.

6. 5x + 4 = x - 12

Subtracting x from both sides: 5x - x + 4 = x - x - 12 4x + 4 = -12

Subtracting 4 from both sides: 4x + 4 - 4 = -12 - 4 4x = -16

Dividing both sides by 4: (4x)/4 = (-16)/4 x = -4

The solution to the equation is x = -4.

7. 7x + 3 = 3x + 11

Subtracting 3x from both sides: 7x - 3x + 3 = 3x - 3x + 11 4x + 3 = 11

Subtracting 3 from both sides: 4x + 3 - 3 = 11 - 3 4x = 8

Dividing both sides by 4: (4x)/4 = 8/4 x = 2

The solution to the equation is x = 2.

8. -7x = 21

Dividing both sides by -7: (-7x)/(-7) = 21/(-7) x = -3

The solution to the equation is x = -3.

9. 3x - 8 = 2x - 1

Subtracting 2x from both sides: 3x - 2x - 8 = 2x - 2x - 1 x - 8 = -1

Adding 8 to both sides: x - 8 + 8 = -1 + 8 x = 7

The solution to the equation is x = 7.

10. 32x = -16

Dividing both sides by 32: (32x)/32 = (-16)/32 x = -0.5

The solution to the equation is x = -0.5.

To summarize:

1. x = -30
2. x = 1
3. x = 4
4. x = 1
5. x = -6
6. x = -4
7. x = 2
8. x = -3
9. x = 7
10. x = -0.5