what is the value of the x in the proportion 6x+1/7=18x-2/14

Answer 1

To solve for x in the proportion 6x + 1/7 = 18x - 2/14, we need to simplify the equation and isolate the variable.

First, let's simplify the equation. To do this, we'll clear the fractions and find a common denominator:
Multiply through by 14 to get rid of the denominators:
14(6x + 1/7) = 14(18x - 2/14)
84x + 14/7 = 252x - 2
84x + 2 = 252x - 2

Next, we'll gather the variable terms on one side and the constant terms on the other side:
84x - 252x = -2 - 2
-168x = -4

Dividing both sides of the equation by -168:
x = (-4) / (-168)
x = 1/42

Therefore, the value of x in the proportion 6x + 1/7 = 18x - 2/14 is 1/42.