89. Solve for x in the equation:

Question

6/7x - 6 = -2

I posted this before, and this is the reply I got from someone:

multiply both sides by 7
6x-42=-14
add 42 to each side
6x=28
x=14/3

But I don't get how this is done because to eliminate 6/7 shouldn't I multiply by 7/6, and not just 7?

Here's what I would do:

first, add 6 to both sides
6/7x=4
multiply both sides by 7/6
x=14/3

But I come out to the same answer..which process is correct?

Answer 1

Both are correct. Both do the same thing. Multiplying by 7 then dividing by six is the same thing as you did, multiplying by 7/6.