Question

Solve for x
: 9x+16=6x+1
.(1 point)
Responses

x=−4
x equals negative 4

x=6
x equals 6

x=−5
x equals negative 5

x=3

Answer 1

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

1. Isolate the variable \(x\) by getting all terms involving \(x\) on one side of the equation and constant terms on the other side.

Subtract \(6x\) from both sides:
\[
9x - 6x + 16 = 1
\]
Simplifying this gives:
\[
3x + 16 = 1
\]

2. Next, subtract \(16\) from both sides:
\[
3x = 1 - 16
\]
Simplifying this gives:
\[
3x = -15
\]

3. Finally, divide both sides by \(3\):
\[
x = \frac{-15}{3} = -5
\]

Thus, the solution is:
\[
\boxed{-5}
\]

So the correct choice is:

**x = −5 (x equals negative 5)**.