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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

1 answer

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).