Question

8х-2=6(1+х)-1 4х-2=4(2-х)+2

Answer 1

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

8x-2=6+6x-1

2x=7

x=3,5

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

4x-2=8-4x+2

8x=12

x=1,5

Answer 2

8х-2=6(1+х)-1

8х-2=6+6х-1

8х-6х=6-1+2

2х=7

х=7:2

х=3,5

4х-2=4(2-х)+2

4х-2=8-4х+2

4х+4х=8+2+2

8х=12

х=12:8

х=1,5

Answer 3

To solve these equations, we'll start by simplifying and isolating the variable 'x' on one side of the equation in each case:

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

Expand the right side first: 8x - 2 = 6 + 6x - 1

Combine the 'x' terms on the right side: 8x - 2 = 6x + 5

Now, let's move all the 'x' terms to one side by subtracting 6x from both sides: 8x - 6x - 2 = 5

Simplify: 2x - 2 = 5

Next, add 2 to both sides to isolate 'x': 2x = 5 + 2 2x = 7

Finally, divide by 2 to find the value of 'x': x = 7 / 2 x = 3.5

So the solution to the first equation is x = 3.5.

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

Expand the right side first: 4x - 2 = 8 - 4x + 2

Combine the 'x' terms on the right side: 4x - 2 = -4x + 10

Move all the 'x' terms to one side by adding 4x to both sides: 4x + 4x - 2 = 10

Simplify: 8x - 2 = 10

Next, add 2 to both sides to isolate 'x': 8x = 10 + 2 8x = 12

Finally, divide by 8 to find the value of 'x': x = 12 / 8 x = 1.5

So the solution to the second equation is x = 1.5.

Therefore, the solutions to the given equations are x = 3.5 and x = 1.5, respectively.