Which is the simplified version of

Question

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