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

Answer 1

To solve the equation \( 4x - 3 = 3x - 9 \), we can follow these steps:

1. First, isolate the variable \( x \) by getting all terms involving \( x \) on one side and constant terms on the other side.

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

2. Now, isolate \( x \) by adding 3 to both sides: \[ x = -9 + 3 \] This yields: \[ x = -6 \]

Thus, the solution is \( x = -6 \).

The correct response is: x equals negative 6.