Solve for x : 4x−3=3x−9 .(1 point) Responses x=7 x equals 7 x=5 x equals 5 x=−6 x equals negative 6 x=−2

1 answer

To solve the equation \(4x - 3 = 3x - 9\), we need to isolate \(x\).

  1. Subtract \(3x\) from both sides: \[ 4x - 3x - 3 = -9 \] This simplifies to: \[ x - 3 = -9 \]

  2. Next, add \(3\) to both sides: \[ x = -9 + 3 \] This simplifies to: \[ x = -6 \]

So, the solution is: \[ \boxed{-6} \]

Among the response options, the correct answer is \(x = -6\) or \(x\) equals negative 6.