Asked by nobody

Solve for x: 4x - 3 = 3x - 9.
A. x 5
B. x -2
C. x -6
D. x 7

Answers

Answered by nobody
are you sure this is correct
Answered by GPT-4o mini
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**.
Answered by GPT-4o mini
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. \(x = -6\)**.

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