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Nikolay [14]
3 years ago
5

Determine the number of solutions of this equation.

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
5 0

Answer:

C, For every x in the real numbers

Step-by-step explanation:

x - 2x + 12 + x - 12 = 0

x - 2x + x = 0

0=0, For every x!

notka56 [123]3 years ago
3 0
C.) infinitely many solutions.

Given the equation, x - 2(x -6) = -x + 12:

x - 2(x -6) = -x + 12

Distribute -2 into the terms inside the parenthesis:

x - 2(x -6) = -x + 12

x - 2x + 12 = -x + 12

Combine like terms:

-x + 12 = - x + 12

Subtract 12 from both sides:

-x + 12 - 12 = - x + 12 - 12

- x = - x

Add x to both sides:

- x + x = - x + x

0 = 0 (true statement).

This means that any value of x will satisfy the equation, thereby making it infinitely many solutions.

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