Solve for x

Question

: 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

Answer 1

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

1. Subtract \(3x\) from both sides to get all the \(x\) terms on one side: \[ 4x - 3x - 3 = -9 \] Simplifying this gives: \[ x - 3 = -9 \]

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

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

So, the correct response is x = −6.