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Complete the equation so that it has infinitely many solutions.

12x−x+8+3x=

1 Answer

6 votes

Answer:

= 14x +8

Explanation:

For the equation in one variable to have infinitely many solutions, it must be true for all values of x. That is, the left side and the right side must simplify to identical expressions.

The left side simplifies to ...

12x -x +8 +3x = (12 -1 +3)x +8 = 14x +8

So, we can give the equation infinitely many solutions if the right side is 14x +8:

12x -x +8 +3x = 14x +8 . . . . has infinitely many solutions

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