Question

xpand the expressions and simplify.

5(x + 4) + 3(x + 2) =

Question 1 options:

8x + 4


6x + 18


8x+ 26


7x - 18

Answer 1

To expand and simplify the expression \(5(x + 4) + 3(x + 2)\), follow these steps:

1. Distribute the 5 and the 3:
\[
5(x + 4) = 5x + 20
\]
\[
3(x + 2) = 3x + 6
\]

2. Combine these results:
\[
5x + 20 + 3x + 6
\]

3. Combine like terms (the \(x\) terms and the constant terms):
\[
(5x + 3x) + (20 + 6) = 8x + 26
\]

So, the simplified expression is:
\[
8x + 26
\]

Therefore, the answer is:
**8x + 26**.