Question

(3/10x -3) + (1/10x + 8)

Answer 1

To combine the expression \((3/10x - 3) + (1/10x + 8)\), we will first distribute and then combine like terms.

1. Distribute the terms in each parenthesis:
\[
= \frac{3}{10}x - 3 + \frac{1}{10}x + 8
\]

2. Combine the like terms (the terms with \(x\) and the constant terms):
- For the \(x\) terms:
\[
\frac{3}{10}x + \frac{1}{10}x = \frac{3 + 1}{10}x = \frac{4}{10}x = \frac{2}{5}x
\]
- For the constant terms:
\[
-3 + 8 = 5
\]

3. Combine both results:
\[
= \frac{2}{5}x + 5
\]

So, the final simplified expression is:
\[
\frac{2}{5}x + 5
\]