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?

Question

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!