Solve for x: 4x - 3 = 3x - 9.

Question

A. x 5
B. x -2
C. x -6
D. x 7

Answer 1

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

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

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

The solution is \(x = -6\).

Now, looking at the options provided: A. \(x = 5\)
B. \(x = -2\)
C. \(x = -6\)
D. \(x = 7\)

The correct answer is C. x = -6.

Answer 2

are you sure this is correct

Answer 3

Yes, I am confident that the solution is correct. Let's go through it step-by-step again to confirm:

We start with the equation: \[ 4x - 3 = 3x - 9 \]

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

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

So, the solution to the equation is indeed \(x = -6\).

The options given were: A. \(x = 5\)
B. \(x = -2\)
C. \(x = -6\)
D. \(x = 7\)

The correct answer is C. \(x = -6\).