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Solve for x: 9x + 16 = 6x + 1.

A. x = -4
B. x = 6
C. x = 3
D. x = -5

3 answers

To solve the equation \( 9x + 16 = 6x + 1 \), we can start by isolating \( x \). Here are the steps:

  1. Subtract \( 6x \) from both sides of the equation:

\[ 9x - 6x + 16 = 1 \]

  1. This simplifies to:

\[ 3x + 16 = 1 \]

  1. Next, subtract 16 from both sides:

\[ 3x = 1 - 16 \]

  1. This simplifies to:

\[ 3x = -15 \]

  1. Now, divide both sides by 3:

\[ x = -5 \]

Thus, the solution is:

\[ \boxed{-5} \]

The answer is D. \( x = -5 \).

are you positive this is correct

Yes, I am confident that the solution is correct. Let's double-check the steps to eliminate any doubts:

We start with the equation:

\[ 9x + 16 = 6x + 1 \]

  1. Subtract \(6x\) from both sides:

\[ 9x - 6x + 16 = 1 \]

This simplifies to:

\[ 3x + 16 = 1 \]

  1. Next, subtract 16 from both sides:

\[ 3x = 1 - 16 \]

This gives:

\[ 3x = -15 \]

  1. Now, divide both sides by 3:

\[ x = -5 \]

Confirming again, the solution to the equation \(9x + 16 = 6x + 1\) is indeed:

\[ \boxed{-5} \]

So the answer is D. \( x = -5 \) is correct.