A. x = -2
B. x = -6
C. x = 5
D. x = 7
3 answers
To solve the equation \( 4x - 3 = 3x - 9 \), we can start by isolating \( x \).
Subtract \( 3x \) from both sides: \[ 4x - 3x - 3 = -9 \] This simplifies to: \[ x - 3 = -9 \]
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.
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.
