Three less than 4 times the sum of 6 and some number. Let x represent the number.

A. 4(6 + x) - 3
B. 3 - 4(6) + x
C. 3 - 4(6 +x)
D. 4(6) + x - 3

(4)(6 + x) - 3 =

To solve this problem, we need to translate the given phrase "Three less than 4 times the sum of 6 and some number" into an algebraic expression.

First, let's break down the problem step by step:

1. "The sum of 6 and some number" can be represented as (6 + x), where x represents the number.
2. "4 times the sum of 6 and some number" is 4 multiplied by (6 + x), which gives us 4(6 + x).
3. "Three less than 4 times the sum of 6 and some number" means we subtract 3 from 4(6 + x), resulting in 4(6 + x) - 3.

Now, let's compare the options:

A. 4(6 + x) - 3: This option correctly represents the given expression.

B. 3 - 4(6) + x: This option does not include the sum of the number and 6. It also switches the order of the terms.

C. 3 - 4(6 + x): This option does not start with 4 times the sum and incorrectly subtracts 3 before multiplying by 4.

D. 4(6) + x - 3: This option multiplies 4 by 6 but does not include the sum of the number and 6. It also subtracts 3 at the end instead of subtracting it from the entire expression.

Therefore, the correct answer is A. 4(6 + x) - 3.