x/2=20 solve for x using inverse operation

1 answer

To solve the equation \( \frac{x}{2} = 20 \) using inverse operations, follow these steps:

  1. Identify the operation: The equation involves division by 2.

  2. Use the inverse operation: The inverse of division is multiplication. To eliminate the division, multiply both sides of the equation by 2.

    \[ 2 \cdot \left(\frac{x}{2}\right) = 2 \cdot 20 \]

  3. Simplify both sides:

    \[ x = 40 \]

Therefore, the solution is \( x = 40 \).