Solve

-x + 5 + 6x = 2 + 5x + 3

A. Identity (infinite solutions)
B. No solution

1 answer

To solve the equation, we need to simplify both sides and isolate the variable x.

Starting with the left side:

-x + 5 + 6x = 5x + 5

Now, the equation becomes:

5x + 5 = 2 + 5x + 3

Simplifying further:

5x + 5 = 5x + 5

At this point, notice that we have the same term on both sides (5x + 5). This means the equation simplifies to an identity, which means it has infinite solutions.

Therefore, the answer is:

A. Identity (infinite solutions)