11x + 5 = 9x - 3

1 answer

To solve the equation \( 11x + 5 = 9x - 3 \), follow these steps:

  1. Start by isolating the variable \( x \). Subtract \( 9x \) from both sides: \[ 11x - 9x + 5 = -3 \] This simplifies to: \[ 2x + 5 = -3 \]

  2. Next, subtract 5 from both sides: \[ 2x = -3 - 5 \] Which simplifies to: \[ 2x = -8 \]

  3. Now, divide both sides by 2: \[ x = \frac{-8}{2} \] This gives: \[ x = -4 \]

The solution to the equation is \( x = -4 \).