Question

Fill in the correct justification for each step in solving the EQUATION below 36-27x=-16x+58

Answer 1

I'm not quite sure what it is asking, but if you need the correct order for the steps then I'll try my best:

36 - 27x = -16x + 58

You start by isolating one of the x variables, which means you can (this is what I did) start by subtracting 36 from both sides (I did this because working with negatives can sometimes be confusing):

-27x = -16x + 22

You then have to get rid of the -16x so x only shows up on one side, which means you have to add it to both sides because it is a negative:

-11x = 22

With this simple equation, all you have to do is divide both sides by -11 so you can isolate the x:

x = -2

You get the -2 because 11 goes into 22 twice and since only one number is negative, the final result is negative.