What is the value of x in the proportion (x - 1)/5 = (4x + 2)/35?

Solution:

Proportion shows the relation between two equivalent ratios.

(x - 1)/5 = (4x + 2)/35

Multiply by 5 on both sides of (x - 1)/5 = (4x + 2)/35, we get

(x - 1) = (4x + 2)/7

7(x - 1) = (4x + 2)

7x - 7 = 4x + 2

7x - 4x = 2 + 7

3x = 9

x = 9/3 = 3

Hence, the value of x in the proportion (x - 1)/5 = (4x + 2)/35 is x = 3.

What is the value of x in the proportion (x - 1)/5 = (4x + 2)/35?

Summary:

The value of x in the proportion (x - 1)/5 = (4x + 2)/35 is x = 3.