x-2/2x+22 = 1/7 x=

Assuming you meant

(x-2)/(2x+22) = 1/7
7(x-2) = 2x+22
7x-14 = 2x+22
and so on

Hi Steve, I'm trying to find the solution for x.

is x = 36/5

looks like it to me. Good work.

thanks

To solve the equation x - 2/(2x + 22) = 1/7 for x, follow these steps:

Step 1: Simplify the equation by multiplying through the denominator.

7(x - 2) = (2x + 22)

Step 2: Distribute on the left-hand side of the equation.

7x - 14 = 2x + 22

Step 3: Move the terms containing x to one side and the constant terms to the other side.

7x - 2x = 22 + 14

5x = 36

Step 4: Solve for x by dividing both sides of the equation by the coefficient of x.

x = 36/5

Therefore, the solution to the equation x - 2/(2x + 22) = 1/7 is x = 36/5.