Find the value of x in this equation use inverse operations and explain step by step

42 = -6 + 3x
42 = 3x - 6      (just moving 3x and -6 around)
42+ 6 = 3x - 6 + 6     (adding 6 to both sides)
42 = 3x    
42/3 = 3x/3    (dividing by 3 to both sides to isolate for x)
14 = x

You're trying to isolate for x, so you have to get it alone on one side. To do this you have to add/subtract and multiply/divide, but remember that whatever you do to one side you have to do to the other. Hope this helped! :)

Where the white dots are is where your points should be plotted.a translation is simply just moving something from one place to another. in this case, you would move each plot point of the original shape 2 units up, and 5 units to the left.

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.