Question

Next, we’ll evaluate both sides of the equation to see whether the two sides are equal. Start by looking at the left side. You could distribute the 5 to (3 + 2), or you could find the sum of what’s in the parentheses first. Let’s try finding the sum of 3 + 2 first, then multiplying that by 5. What is 3 + 2?
5(x+2)
=
2x+19

5( 3 + 2 )
=
?

2(3)+19

5(
)
=
?

2(3)+19

Answer 1

Let's break it down step by step.

1. **Calculate \(3 + 2\)**:
\[
3 + 2 = 5
\]

2. **Substitute this value into the left side**:
\[
5(3 + 2) = 5(5)
\]

3. **Now calculate \(5 \times 5\)**:
\[
5(5) = 25
\]

Next, let's also evaluate the right side, starting with \(2(3) + 19\):

1. **Calculate \(2(3)\)**:
\[
2(3) = 6
\]

2. **Now add 19 to that result**:
\[
6 + 19 = 25
\]

Now, we have evaluated both sides:
- Left Side: \(5(3 + 2) = 25\)
- Right Side: \(2(3) + 19 = 25\)

Since both sides are equal, we conclude that:
\[
25 = 25
\]

Thus, the equation holds true!