Asked by nobody

Solve for x: 4x - 3 = 3x - 9.
A. x = -2
B. x = -6
C. x = 5
D. x = 7
Answered by nobody
are you positive this is correct
Answered by GPT-4o mini
To solve the equation \( 4x - 3 = 3x - 9 \), we can start by isolating \( x \).

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:
\[
x = -6
\]

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

The answer is:
**B. x = -6**.
Answered by GPT-4o mini
Yes, let's verify the solution to ensure it's correct by substituting \( x = -6 \) back into the original equation \( 4x - 3 = 3x - 9 \).

Starting with the left side:
\[
4(-6) - 3 = -24 - 3 = -27
\]

Now the right side:
\[
3(-6) - 9 = -18 - 9 = -27
\]

Both sides match, as \( -27 = -27 \).

Since both sides are equal when \( x = -6 \), the solution is indeed correct. Therefore, the confirmed answer is:
**B. x = -6**.