six times a number is added to 33, the result is 75.
Replace the words "a number" by x
six times x is added to 33, the result is 75.
Replace the words "six times x" by "6x
6x is added to 33, the result is 75.
When we add to a number we start with what we are adding to,
and then we add to it. Since we are adding to 33, we start with
33 and then we add 6x to it, so replace "6x added to 33" by
"33 + 6x". The other tutor has it reversed. It will give the same
result, but it's not translated correctly. It should be 33 + 6x,
not 6x + 33. It won't make a difference since addition is
commutative, but it would if it were subtracted, so it's a good idea
to always translate in the correct order whether adding or subtracting.
33 + 6x, the result is 75.
Replace the words "the result is" by an equal sign:
33 + 6x = 75
Subtract 33 from both sides
6x = 42
Divide both sides by 6
x = 7
Edwin