Does (6x - 12) = 5x + 1 have one solution, infinitely many solutions, or no solution?

Answer 1

To determine the number of solutions for the equation \(6x - 12 = 5x + 1\), we can solve for \(x\).

1. Start by subtracting \(5x\) from both sides:

\[ 6x - 5x - 12 = 1 \]

This simplifies to:

\[ x - 12 = 1 \]

2. Next, add \(12\) to both sides:

\[ x = 1 + 12 \]

This gives us:

\[ x = 13 \]

Since we have found a specific value for \(x\), the original equation \(6x - 12 = 5x + 1\) has one solution.

Thus, the answer is that the equation has one solution.