Question

In order to solve for the variable in the equation 2 (x + 3) + 5 x = 3 (2 x minus 1), Jaleesa begins by applying the distributive property, then combines like terms. Which equation is the result of these steps?
7 x + 6 = 6 x minus 3
2 x + 6 + 5 x = 6 x minus 3
2 x + 3 + 5 x = 6 x minus 1
7 x + 3 = 6 x minus 1

Answer 1

Let's start with the given equation:

\[
2 (x + 3) + 5x = 3 (2x - 1)
\]

Now, we'll apply the distributive property to both sides.

1. **Left side**: Distributing \(2\) to both terms in the parentheses:
\[
2(x) + 2(3) + 5x = 2x + 6 + 5x
\]
When we combine like terms on the left side, we get:
\[
2x + 5x + 6 = 7x + 6
\]

2. **Right side**: Distributing \(3\) to both terms in the parentheses:
\[
3(2x) - 3(1) = 6x - 3
\]

Now, putting both sides together yields:
\[
7x + 6 = 6x - 3
\]

Therefore, the result of applying the distributive property and combining like terms is:

**7x + 6 = 6x - 3**

So the correct answer from your options is:

**7 x + 6 = 6 x minus 3**