Start by substituting 3 for x in the original equation. The parentheses are included to show multiplication.

5( x + 2) = 2 x + 19
5( ? + 2) = 2(?) + 19


2(
)+ 19

1 answer

To substitute \( x = 3 \) into the original equation \( 5( x + 2) = 2 x + 19 \), we replace \( x \) with \( 3 \).

The equation becomes:

\[ 5(3 + 2) = 2(3) + 19 \]

Now we calculate each side:

  1. On the left side: \[ 5(3 + 2) = 5(5) = 25 \]

  2. On the right side: \[ 2(3) + 19 = 6 + 19 = 25 \]

So both sides equal \( 25 \). The substitution for \( ? \) would be \( 3 \) on both sides where \( x \) was.

Thus, we fill in the blanks with \( 3 \):

  • The left side: \[ 5(3 + 2) = 2(3) + 19 \]

  • The final substitution: \[ 2(3) + 19 \]

So the completed substitution is: \[ 5(3 + 2) = 2(3) + 19 \]