Question

1) 3x-1=5 Ребят помогите пожалуйста!!! 2) -х+6=11 3) -5х+2=-13 4) 4х-13=8+х 5) 5х+15=х-1 6) -6х+2=-х+22 7) 2(х-1)-5=3х+2 8) 4(3х+5)-14=2(х-7)

Answer 1

Ответ:

Каждое уравнение нужно преобразовать так, чтобы переменные были в левой части, а числа в правой

1) 3x = 6

x = 2

2)-x = 5

x = -5

3) -5x= -15

x = 3

4)3x = 21

x = 7

5)4x = -16

x=-4

6)-5x=20

x =-4

7)2x-2-5=3x+2

x=-9

8)12x+20-14=2x-14

10x=-20

x=-2

Answer 2

1. Let's solve the equation step by step:

3x - 1 = 5

To isolate the variable x, we can start by adding 1 to both sides of the equation:

3x - 1 + 1 = 5 + 1

Simplifying the equation gives us:

3x = 6

Now, divide both sides of the equation by 3 to solve for x:

(3x)/3 = 6/3

Simplifying further:

x = 2

Therefore, the solution to the equation is x = 2.

2. Following the same steps:

-x + 6 = 11

Add x to both sides:

-x + x + 6 = 11 + x

Simplifying:

6 = 11 + x

Subtract 11 from both sides:

6 - 11 = 11 + x - 11

Simplifying further:

-5 = x

So, the solution is x = -5.

3. Applying the steps:

-5x + 2 = -13

Subtract 2 from both sides:

-5x + 2 - 2 = -13 - 2

Simplifying:

-5x = -15

Divide both sides by -5:

(-5x)/-5 = -15/-5

Simplifying further:

x = 3

The solution to the equation is x = 3.

4. Let's solve:

4x - 13 = 8 + x

Subtract x from both sides:

4x - x - 13 = 8 + x - x

Simplifying:

3x - 13 = 8

Add 13 to both sides:

3x - 13 + 13 = 8 + 13

Simplifying further:

3x = 21

Divide both sides by 3:

(3x)/3 = 21/3

Simplifying:

x = 7

The solution is x = 7.

5. Solving the equation:

5x + 15 = x - 1

Subtract x from both sides:

5x - x + 15 = x - x - 1

Simplifying:

4x + 15 = -1

Subtract 15 from both sides:

4x + 15 - 15 = -1 - 15

Simplifying further:

4x = -16

Divide both sides by 4:

(4x)/4 = -16/4

Simplifying:

x = -4

The solution is x = -4.

6. Let's solve:

-6x + 2 = -x + 22

Add x to both sides:

-6x + x + 2 = -x + x + 22

Simplifying:

-5x + 2 = 22

Subtract 2 from both sides:

-5x + 2 - 2 = 22 - 2

Simplifying further:

-5x = 20

Divide both sides by -5:

(-5x)/-5 = 20/-5

Simplifying:

x = -4

The solution is x = -4.

7. Solving the equation step by step:

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

Distribute 2 to terms inside the parentheses:

2x - 2 - 5 = 3x + 2

Combine like terms:

2x - 7 = 3x + 2

Subtract 2x from both sides:

2x - 7 - 2x = 3x - 2x + 2

Simplifying:

-7 = x + 2

Subtract 2 from both sides:

-7 - 2 = x + 2 - 2

Simplifying further:

-9 = x

The solution is x = -9.

8. Let's solve the equation:

4(3x + 5) - 14 = 2(x - 7)

Distribute 4 to terms inside the parentheses:

12x + 20 - 14 = 2x - 14

Combine like terms:

12x + 6 = 2x - 14

Subtract 2x from both sides:

12x - 2x + 6 = 2x - 2x - 14

Simplifying:

10x + 6 = -14

Subtract 6 from both sides:

10x + 6 - 6 = -14 - 6

Simplifying further:

10x = -20

Divide both sides by 10:

(10x)/10 = -20/10

Simplifying:

x = -2

The solution is x = -2.