Solve Equations with Variables on Both Sides Quick Check

Question

2 of 52 of 5 Items
Question
Solve for x
: 4x−3=3x−9
.(1 point)
Responses

x=−2
x equals negative 2

x=5
x equals 5

x=7
x equals 7

x=−6

Answer 1

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

1. Isolate the variable on one side: 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 gives us: \[ x = -6 \]

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

The correct response is:

• x = −6