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How many soultions? -4x-7+10x=-7+6x

A. No solutions
B. Exactly one solution
C. Infinitely many solutions

1 Answer

3 votes

Answer:

C. Infinitely many solutions.

Explanation:

-4x - 7 + 10x = -7 + 6x

Combine like terms on the left side. Rearrange the right side.

6x - 7 = 6x - 7

Add 7 to both sides.

6x = 6x

Subtract 6x from both sides.

0 = 0

0 = 0 is a true statement.

Both sides are equal, so all real values of x make the equation true.

Answer: C. Infinitely many solutions.

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