Solve the equation (3x + 2)/(x-1) + 3 = 4

Rearranging equations to find x.

The first thing to do is to look at the 3. To 'get rid' of the 3 from the left we need to minus 3. Remember we must do the same to both sides so we also minus 3 from the right hand side (4-3=1). This leaves us with (3x+2)/(x-1)=1.

The next thing to do is times both sides by (x-1). This leaves us with (3x+2) = 1(x-1) (can be simplified to just x-1)

Now we have 3x+2 = x-1. In order to solve x, we need to have x on just on side. So if we -x from the right and therefore from the left as well we are left with 2x+2 = -1. We now need to do the same with the numbers and -2 from both sides to leave 2x = -3.

All that is left to do now is to work out what just x is so we divide both sides by 2, leaving our final value as x = -3/2