Solve for x : 4x−3=3x−9 .(1 point)

Responses

x=7
x equals 7

x=−6
x equals negative 6

x=5
x equals 5

x=−2

1 answer

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:

\[ x - 3 = -9 \]

  1. Next, add \(3\) to both sides:

\[ x - 3 + 3 = -9 + 3 \]

This simplifies to:

\[ x = -6 \]

So the solution is \(x = -6\).

Thus, the correct response is:

x equals negative 6.