Question

Solve Equations with Variables on Both Sides Quick Check
2 of 52 of 5 Items
Question
Solve for x
: 4x−3=3x−9
.(1 point)
Responses

x=7
x equals 7

x=−2
x equals negative 2

x=−6
x equals negative 6

x=5

Answer 1

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

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 is \( x = -6 \).

The correct response is:
**x = -6**.