Question

Solve Equations with Variables on Both Sides Quick Check
1 of 51 of 5 Items
Question
Solve for x
: 9x+16=6x+1
.(1 point)
Responses

x=3
x equals 3

x=−5
x equals negative 5

x=6
x equals 6

x=−4

Answer 1

To solve the equation \( 9x + 16 = 6x + 1 \), follow these steps:

1. **Get all terms involving \( x \) on one side of the equation.**
Subtract \( 6x \) from both sides:
\[
9x + 16 - 6x = 6x + 1 - 6x
\]
which simplifies to:
\[
3x + 16 = 1
\]

2. **Next, isolate \( x \) by moving the constant to the other side.**
Subtract 16 from both sides:
\[
3x + 16 - 16 = 1 - 16
\]
which simplifies to:
\[
3x = -15
\]

3. **Finally, divide by 3 to solve for \( x \):**
\[
x = \frac{-15}{3} = -5
\]

Thus, the solution is \( x = -5 \).

The correct response is:
**x = −5** (x equals negative 5).