3/2x-1 = x+1

1/2x = 2

x = 4

3\2x-1=x+1 3/2x-x=1+1 (3x-2x)/2=2 x=2*2 x=4

To solve the equation 3/2x - 1 = x + 1, we can follow these steps:

1. Start by simplifying both sides of the equation. First, let's clear the fractions by multiplying every term by the common denominator, which is 2:

2 * (3/2x - 1) = 2 * (x + 1)

Simplifying the left side, we have:

2 * (3/2x) - 2 * 1 = 2x + 2

Now we have:

3x - 2 = 2x + 2

2. Next, let's move all the x terms to one side of the equation by subtracting 2x from both sides:

3x - 2 - 2x = 2x + 2 - 2x

Simplifying, we get:

x - 2 = 2

3. To isolate the variable x, we need to get rid of the constant term. In this case, we'll add 2 to both sides:

x - 2 + 2 = 2 + 2

Simplifying, we find:

x = 4

Therefore, the solution to the equation 3/2x - 1 = x + 1 is x = 4.