Question

1)4(3x+5)-3(4x-1) =12+26x 2)16-(2x+5) =30 3)5-(2x+3) =17 4)3(x-1)-2(1-x) =6

Answer 1

Ответ:

$\frac{11}{26}$  -9,5  - 7.5  2,2

Пошаговое объяснение:

1) 4(3x+5)-3(4x-1) =12+26x

12x + 20 - 12x+3=12+26x

26x=11

x=$\frac{11}{26}$

2) 16-(2x+5) =30

16 - 2x - 5 = 30

-2x = 19

x = -9,5

3) 5-(2x+3) =17

5 - 2x - 3 = 17

-2x=15

x= - 7.5

4) 3(x-1)-2(1-x) =6

3x - 3 -2 + 2x = 6

5x = 11

x= 2,2

Answer 2

1. 12x+20-12x-3=12+26x.
12x-12x-26x=-20+3+12
- 25x=-5
x=-25:-5
x=5
2. 16-2x-5=30
-2x=-16+5+30
-2x=19
x= 19:-2
x=-9,5 или -19/2.
2. 5-2x-3=17
-2x=-5+3+17
-2x=15
x=15:-2
-7,5 или -15/2

Answer 3

Let's solve each equation step by step:

1. 4(3x+5) - 3(4x-1) = 12 + 26x

Distribute the multiplication:

12x + 20 - 12x + 3 = 12 + 26x

Combine like terms:

20 + 3 = 12 + 26x

23 = 12 + 26x

Subtract 12 from both sides:

23 - 12 = 12 - 12 + 26x

11 = 26x

Divide both sides by 26:

11/26 = 26x/26

11/26 = x

The solution is x = 11/26.

2. 16 - (2x + 5) = 30

Remove the parentheses:

16 - 2x - 5 = 30

Combine like terms:

11 - 2x = 30

Subtract 11 from both sides:

11 - 11 - 2x = 30 - 11

-2x = 19

Divide both sides by -2:

(-2x)/(-2) = 19/(-2)

x = -19/2

The solution is x = -19/2 or -9.5.

3. 5 - (2x + 3) = 17

Remove the parentheses:

5 - 2x - 3 = 17

Combine like terms:

2 - 2x = 17

Subtract 2 from both sides:

2 - 2 - 2x = 17 - 2

-2x = 15

Divide both sides by -2:

(-2x)/(-2) = 15/(-2)

x = -15/2

The solution is x = -15/2 or -7.5.

4. 3(x - 1) - 2(1 - x) = 6

Distribute the multiplication:

3x - 3 - 2 + 2x = 6

Combine like terms:

5x - 1 = 6

Add 1 to both sides:

5x - 1 + 1 = 6 + 1

5x = 7

Divide both sides by 5:

(5x)/5 = 7/5

x = 7/5

The solution is x = 7/5 or 1.4.

Summary of solutions:

1. x = 11/26
2. x = -19/2 or -9.5
3. x = -15/2 or -7.5
4. x = 7/5 or 1.4