how do you solve: 4=1(2)/(x-2)

Thank you!

Strange way of typing, I will assume you mean

4 = 2/(x-2)
then
4x - 8 = 2
4x = 10
x = 10/4 = 5/2 or 2.5

Thank you!

To solve the equation 4 = 1(2)/(x-2), we need to isolate the variable x.

Step 1: Distribute the 1 to the 2, which means multiplying 1 by 2.
4 = 2 / (x - 2)

Step 2: Multiply both sides of the equation by (x - 2) to eliminate the fraction.
(x - 2) * 4 = 2

Step 3: Simplify the left side of the equation by multiplying.
4x - 8 = 2

Step 4: Isolate the variable x by adding 8 to both sides of the equation.
4x = 2 + 8
4x = 10

Step 5: Finally, solve for x by dividing both sides of the equation by 4.
x = 10 / 4
x = 2.5

So, the solution to the equation 4 = 1(2)/(x-2) is x = 2.5.