Question

Which is the simplified version of
5x − 2( x − 5) = 42?
Group of answer choices

3x-10=-42

3x-10=42

3x-5=42

3x+10=42

Answer 1

To simplify the equation \(5x - 2(x - 5) = 42\), let's go through the steps:

1. Distribute \( -2 \) across the terms inside the parentheses:
\[
5x - 2 \cdot x + 2 \cdot 5 = 42
\]
This simplifies to:
\[
5x - 2x + 10 = 42
\]

2. Combine like terms:
\[
(5x - 2x) + 10 = 42
\]
This results in:
\[
3x + 10 = 42
\]

So the simplified version of the equation is:

\[
3x + 10 = 42
\]

Therefore, the correct choice from the options given is:

**3x + 10 = 42**