Question

38. 5a +3(2a - 5) = 4(12 - a) - 3;= 39. 5(9t - 3(2t - 4)) + 12 = 4(t + 29);=40. 2(5x -2(x + 3)) - 15 = 17 + x + 11.=​

Answer 1

1)

5a + 3(2a - 5) = 4(12 - a) - 3

5a + 6a - 15 = 48 - 4a - 3

11a - 15 = 45 - 4a

11a + 4a = 45 + 15

15a = 60

a = 4

Ответ: 4.

2)

(9t - 3(2t - 4)) + 12 = 4(t + 29)

3t + 12 + 12 = 4t + 116

3t - 4t = 116 - 24

-t = 92

t = -92

Ответ: -92.

3)

2(5x -2(x + 3)) - 15 = 17 + x + 11

6x - 12 - 15 = 28 + x

6x - x = 28 + 27

5x = 55

x = 11

Ответ: 11.

Answer 2

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

38. 5a + 3(2a - 5) = 4(12 - a) - 3

First, distribute the multiplication:

5a + 6a - 15 = 48 - 4a - 3

Combine like terms:

11a - 15 = 45 - 4a

Add 4a to both sides:

11a + 4a - 15 = 45

Simplify:

15a - 15 = 45

Add 15 to both sides:

15a - 15 + 15 = 45 + 15

Simplify:

15a = 60

Divide both sides by 15:

a = 4

Therefore, the solution to the equation is a = 4.

39. 5(9t - 3(2t - 4)) + 12 = 4(t + 29)

First, distribute the multiplication:

45t - 15(2t - 4) + 12 = 4t + 116

Multiply -15 by each term inside the parentheses:

45t - 30t + 60 + 12 = 4t + 116

Combine like terms:

15t + 72 = 4t + 116

Subtract 4t from both sides:

15t - 4t + 72 = 116

Simplify:

11t + 72 = 116

Subtract 72 from both sides:

11t + 72 - 72 = 116 - 72

Simplify:

11t = 44

Divide both sides by 11:

t = 4

Therefore, the solution to the equation is t = 4.

40. 2(5x - 2(x + 3)) - 15 = 17 + x + 11

First, distribute the multiplication:

2(5x - 2x - 6) - 15 = 17 + x + 11

Simplify inside the parentheses:

2(3x - 6) - 15 = 17 + x + 11

Distribute the multiplication:

6x - 12 - 15 = 17 + x + 11

Combine like terms:

6x - 27 = 28 + x

Subtract x from both sides:

6x - x - 27 = 28

Simplify:

5x - 27 = 28

Add 27 to both sides:

5x - 27 + 27 = 28 + 27

Simplify:

5x = 55

Divide both sides by 5:

x = 11

Therefore, the solution to the equation is x = 11.

In summary:

38. a = 4
39. t = 4
40. x = 11