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

1 answer

To substitute \( x = 3 \) into the original equation \( 5(x + 2) = 2x + 19 \):

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

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

So, the equation becomes: \[ 5(5) = 25 \quad \text{and} \quad 2(3) + 19 = 25 \]

Both sides equal 25 when \( x = 3 \).

In summary:

  • Left side: \( 5(3 + 2) = 25 \)
  • Right side: \( 2(3) + 19 = 25 \)

Thus, the required substitutions are as follows:

  • For the left side with \( x = 3 \): \[ 5(3 + 2) = 25 \]

  • For the right side with \( x = 3 \): \[ 2(3) + 19 = 25 \]