Question

8х-2=6(1+х)-1 4х-2=4(2-х)+2 7х-2=3(1-х)+5 5-3(4+х)=8х+4

Answer 1

1. 8x-2=6(1+x)-1
8x-2=6+6x-1
2x=7
x=3.5


2. 4x-2=4(2-x)+2
4x-2=8-4x+2
8x=12
x=1.5


3. 7x-2=3(1-x)+5
7x-2=3-3x+5
10x=10
×=1


4. 5-3(4+x)=8x+4
5-12-3x=8x+4
-11x=11
x=-1

Answer 2

Let's solve each equation step by step:

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

First, distribute the 6 on the right side:

8x - 2 = 6 + 6x - 1

Combine like terms:

8x - 2 = 6x + 5

Now, move the variables to one side and constants to the other side:

8x - 6x = 5 + 2

2x = 7

Finally, divide by 2 to isolate x:

x = 7 / 2

x = 3.5

2. 4x - 2 = 4(2 - x) + 2

First, distribute the 4 on the right side:

4x - 2 = 8 - 4x + 2

Combine like terms:

4x - 2 = -4x + 10

Move the variables to one side and constants to the other side:

4x + 4x = 10 + 2

8x = 12

Finally, divide by 8 to isolate x:

x = 12 / 8

x = 1.5

3. 7x - 2 = 3(1 - x) + 5

First, distribute the 3 on the right side:

7x - 2 = 3 - 3x + 5

Combine like terms:

7x - 2 = -3x + 8

Move the variables to one side and constants to the other side:

7x + 3x = 8 + 2

10x = 10

Finally, divide by 10 to isolate x:

x = 10 / 10

x = 1

4. 5 - 3(4 + x) = 8x + 4

First, distribute the -3 on the left side:

5 - 12 - 3x = 8x + 4

Combine like terms:

-7 - 3x = 8x + 4

Move the variables to one side and constants to the other side:

-3x - 8x = 4 + 7

-11x = 11

Finally, divide by -11 to isolate x:

x = 11 / -11

x = -1

So, the solutions to the given equations are:

x = 3.5 x = 1.5 x = 1 x = -1