1/2(x+4)+14(4x−2)

3 answers

To simplify the expression 1/2(x+4)+14(4x−2), we can start by distributing the 14 to both terms inside the parentheses:

1/2(x+4) + 14(4x−2)
= 1/2(x) + 1/2(4) + 14(4x) - 14(2)

Simplifying each term:

= 1/2x + 2/2 + 56x - 28

Since 2/2 simplifies to 1, we can write:

= 1/2x + 1 + 56x - 28

Now, we can combine the like terms:

= 1/2x + 56x + 1 - 28

= (1/2 + 56)x - 27

Finally, combining the fractions:

= (57/2)x - 27

Therefore, 1/2(x+4)+14(4x−2) simplifies to (57/2)x - 27.
what's the answer
The simplified expression is (57/2)x - 27.