7n+2=4n+17

1 answer

To solve the equation \( 7n + 2 = 4n + 17 \), you can follow these steps:

  1. Subtract \( 4n \) from both sides: \[ 7n - 4n + 2 = 17 \] Simplifying gives: \[ 3n + 2 = 17 \]

  2. Subtract 2 from both sides: \[ 3n = 17 - 2 \] Simplifying gives: \[ 3n = 15 \]

  3. Divide both sides by 3: \[ n = \frac{15}{3} \] Simplifying gives: \[ n = 5 \]

So, the solution is \( n = 5 \).