Ask a New Question
Menu

2x+9-4x=x-12

what value of x makes this equation true???

1 answer

To solve the equation \( 2x + 9 - 4x = x - 12 \), we can follow these steps:

  1. Combine like terms on the left side: \[ (2x - 4x) + 9 = x - 12 \] This simplifies to: \[ -2x + 9 = x - 12 \]

  2. Next, we can add \( 2x \) to both sides to get all the \( x \) terms on one side: \[ 9 = x + 2x - 12 \] This simplifies to: \[ 9 = 3x - 12 \]

  3. Now, add 12 to both sides: \[ 9 + 12 = 3x \] This gives us: \[ 21 = 3x \]

  4. Finally, divide both sides by 3: \[ x = \frac{21}{3} = 7 \]

Thus, the value of \( x \) that makes the equation true is \( \boxed{7} \).