Does 6(2x-6)=-7(-2x+4) have no solution or infinite solution

asked Jul 15, 2023 224k views

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7 votes

Answer:

It does not.

Explanation:

$6(2x - 6) = -7(-2x + 4); \\ 6 * 2x - 6 * 6 = -7 * (-2x) + (-7) * 4; \\ 12x - 36 = 14x - 28; \\ 14x - 12x = -36 + 28; \\ 2x = -8; \\ x = -4.$

$\{-4\}$ is our set of solutions. Answering your question, it does not.

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