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

Firstly, we need to identify what this question is asking us to do. Looking at the equation we can see that we have one unknown value, which is x. It is therefore the value of x which we are being asked to find out. So to find x we need to start by expanding the brackets. For the left side this means multiplying both the 2x and the -1 by 3 leaving us with 6x - 3. Similarly, expanding the bracket on the right hand side provides 4x - 8. The equation now looks like this : 6x - 3 = 4x - 8. The next step we need to do is make sure all the x terms are on the same side. To do this we need to take away 4x from both sides. Thus, the equation now looks like this: 2x - 3 = - 8. We now want to have all the known values on the opposite (right)hand side. This is achieved by adding 3 to both sides to create the equation 2x = - 5. The last step is to divide both sides by two to provide us with the answer and final equation x = - 2.5