Question

2/5 (10x + 15) = 26 A) 3 B) 5 C) 7 D) 12

Answer 1

Answer:

B

Step-by-step explanation:

2/5 (10x + 15) = 26

Distribute the 2/5

4x + 6 = 26

4x = 20

x = 5

Answer 2

Answer:

x = 5 thus B) is the Answer

Step-by-step explanation:

Solve for x:

(2 (10 x + 15))/5 = 26

Multiply both sides of (2 (10 x + 15))/5 = 26 by 5/2:

(5×2 (10 x + 15))/(2×5) = 5/2×26

5/2×26 = (5×26)/2:

(5×2 (10 x + 15))/(2×5) = (5×26)/2

(5×2 (10 x + 15))/(2×5) = (2×5)/(2×5)×(10 x + 15) = 10 x + 15:

10 x + 15 = (5×26)/2

2 | 1 | 3

| 2 | 6

- | 2 |  

| | 6

| - | 6

| | 0:

10 x + 15 = 5×13

5×13 = 65:

10 x + 15 = 65

Subtract 15 from both sides:

10 x + (15 - 15) = 65 - 15

15 - 15 = 0:

10 x = 65 - 15

65 - 15 = 50:

10 x = 50

Divide both sides of 10 x = 50 by 10:

(10 x)/10 = 50/10

10/10 = 1:

x = 50/10

The gcd of 50 and 10 is 10, so 50/10 = (10×5)/(10×1) = 10/10×5 = 5:

Answer:  x = 5