Question

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

Answer 1

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.