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5 votes
10x-4=-4+10x

One Solution, No Solution, Infinitely Many Solutions

User Peppy
by
8.4k points

1 Answer

7 votes

Answer: Infinitely Many Solutions

Explanation:

Let’s simplify the equation:


10x-4=-4+10x (add 4 to both sides)


10x=10x (divide by 10 on both sides)


x=x


Because
x=x,
x has an infinite amount of solutions.


Note: You could rearrange the equation from the beginning:
10x-4=10x-4. This allows you to reach the conclusion that
x has infinitely many solutions before solving for
x.

User Trix
by
8.0k points

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