3 (2x + 5) = 33

1 answer

To solve the equation \( 3(2x + 5) = 33 \), follow these steps:

  1. Distribute the 3 on the left side: \[ 3 \cdot 2x + 3 \cdot 5 = 33 \] This simplifies to: \[ 6x + 15 = 33 \]

  2. Subtract 15 from both sides: \[ 6x + 15 - 15 = 33 - 15 \] This simplifies to: \[ 6x = 18 \]

  3. Divide both sides by 6: \[ x = \frac{18}{6} \] Therefore: \[ x = 3 \]

The solution is \( x = 3 \).