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Is -x+5+6x=2+5x+3 a infinite solutions or no solutions?

1 answer

To determine if the equation -x + 5 + 6x = 2 + 5x + 3 has infinite solutions or no solutions, we need to simplify and solve for x.

Starting with the given equation:
-x + 5 + 6x = 2 + 5x + 3

Let's simplify both sides:
6x - x + 5 = 5x + 5

Combining like terms:
5x + 5 = 5x + 5

Now, this equation simplifies further:
5x = 5x

Since the x terms are the same on both sides of the equation, we can conclude that any value of x will make the equation true. This means that the equation has infinite solutions.