Solve for x : 4x−3=3x−9 .(1 point)

Responses

x=−6
x equals negative 6

x=−2
x equals negative 2

x=5
x equals 5

x=7
x equals 7

1 answer

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

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

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

Thus, the solution is: \[ x = -6 \]

So the correct response is \( x = -6 \) or "x equals negative 6".