So we translate the expression:
"4 more than twice a number is the same as 4 less than 4 times a number"
by using "x" to replace the unknown number with a letter in our algebraic form.
Notice that "4 more than twice a number", in such case can be written as:
2 x + 4 (twice the unknown number plus 4)
and the phrase "4 less than 4 times the number" is the same as:
4 x - 4 (we subtract 4 to 4 times the unknown number).
Then we write the equation that equals these two phrase because we are told they are the same matematically:
2 x + 4 = 4 x - 4
and we solve for our unknown x by grouping all terms in x on the right and all numerical terms on the left:
4 + 4 = 4 x - 2 x
8 = 2 x
8/2 = x
x = 4