Question

1)8-4(-7x+8)=4 2)1-6(2x-3)=-2 3)10+9(-10-9x)=8-x 4)-1+8(7-6x)=2x+6 5)2+3(1+2x)=-2x+3

Answer 1

1)8-4(-7х+8)=4
8+28х-32=4
-24+28х=4
28х=4+24
28х=28
х=1

2)1-6(2x-3)=-2
1-12х+18=-2
19-12х=-2
-12х=-2-19
-12х=-21
х=7:4(дробь)

3)10+9(-10-9x)=8-x
10-90-81х=8-х
-80-81х=8-х
-81х+х=8+80
-80х=88
х=-11:10(дробь)

4)-1+8(7-6x)=2x+6
-1+56-48х=2х+6
55-48х=2х+6
-48х-2х+6-55
-50х=-49
х=49:50(дробь)

5)2+3(1+2x)=-2x+3
2+3+6х=-2х+3
2+6х=-2х
6х+2х=-2
8х=-2
х=-1:4(дробь)

Answer 2

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

1. 8 - 4(-7x + 8) = 4

Distribute the -4:

8 + 28x - 32 = 4

Combine like terms:

28x - 24 = 4

Add 24 to both sides:

28x = 28

Divide both sides by 28:

x = 1

Therefore, the solution to the equation is x = 1.

2. 1 - 6(2x - 3) = -2

Distribute the -6:

1 - 12x + 18 = -2

Combine like terms:

-12x + 19 = -2

Subtract 19 from both sides:

-12x = -21

Divide both sides by -12:

x = 21/12 or x = 7/4

So the solution to the equation is x = 7/4.

3. 10 + 9(-10 - 9x) = 8 - x

Distribute the 9:

10 - 90 - 81x = 8 - x

Combine like terms:

-81x - 80 = -x + 8

Add 81x to both sides:

-80 = 80x + 8

Subtract 8 from both sides:

-88 = 80x

Divide both sides by 80:

x = -11/10

Therefore, the solution to the equation is x = -11/10.

4. -1 + 8(7 - 6x) = 2x + 6

Distribute the 8:

-1 + 56 - 48x = 2x + 6

Combine like terms:

55 - 48x = 2x + 6

Subtract 2x from both sides:

55 - 50x = 6

Subtract 55 from both sides:

-50x = -49

Divide both sides by -50:

x = 49/50

So the solution to the equation is x = 49/50.

5. 2 + 3(1 + 2x) = -2x + 3

Distribute the 3:

2 + 3 + 6x = -2x + 3

Combine like terms:

5 + 6x = -2x + 3

Add 2x to both sides:

5 + 8x = 3

Subtract 5 from both sides:

8x = -2

Divide both sides by 8:

x = -1/4

Therefore, the solution to the equation is x = -1/4.

To recap:

1. x = 1
2. x = 7/4
3. x = -11/10
4. x = 49/50
5. x = -1/4