Question

1/6 x + 3/4(1/2 x - 4) how do i get the answer for this problem

Answer 1

To solve the expression 1/6 x + 3/4(1/2 x - 4), distribute 3/4 to the terms in the parentheses, simplify, find a common denominator for the 'x' terms, add them together, and then subtract 3 to get the final expression (13/24)x - 3.

Step-by-step explanation:

To solve the algebraic expression 1/6 x + 3/4(1/2 x - 4), we need to simplify and combine like terms. Start by distributing the 3/4 to both terms within the parentheses:

(1/6)x + (3/4)(1/2)x - (3/4)4.

After distribution, simplify each term:

(1/6)x + (3/8)x - 3.

Now, find a common denominator for the x terms, which is 24:

(4/24)x + (9/24)x - 3.

Next, add the x terms:

(13/24)x - 3.

And this gives us the simplified expression:

(13/24)x - 3.

This is the final form of the given algebraic expression after simplification.