Question

Translate the sentence into an equation. The difference of a number divided by 3 and 5 is equal to 2 . Use the variable w for the unknown number.

Answer 1

Hey there :)

Let us translate each one separately
{ Using w for unknown }

The difference of a number divided by 3 and 5 is 2
'is' is the key-word, meaning you apply the = sign
Difference is subtraction

 → a number divided by 3 - 5 = 2

This is your equation:
 → $\frac{w}{3} -5=2$
 
Solving for w
Take 5 to the other side
[ When you see subtraction you do addition on the opposite side ]
 → $\frac{w}{3}=2+5$ 
$\frac{w}{3}=7$

Take 3 to the other side
[ When you see division you do multiplication on the opposite side ]
w = 3 x 7
w = 21