Find the value of x if the following is true: 3(x – 2) < 8 – 2x

So our first priority is to get all the Xs onto on side and add them together. But we cant do that just yet because of 3(x-2).

so lets move all X values to the left of the equation 3(x-2) + 2x < 8 (Notice how 2x changes from -2x to +2x)

so we now have to get rid of the brackets which will be 3x - 6 

this makes the current question look like 3x - 6 +2x < 8

so now put all xs to one side and all numbers to right 3x +2x < 8 + 6

add them all up 5x < 14

now we're hear to find value of x so:  X < 14/5

this can also be written as 2.8 or 2 + 4/5