Multi-step equations, including no solution and infinitely many

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Learn it Expand brackets, collect x-terms on one side and numbers on the other. If the x-terms cancel: a false statement (like 3 = 5) means no solution; a true one (like 4 = 4) means infinitely many solutions.

Example: $2(x + 3) = 2x + 7$

Expand: $2x + 6 = 2x + 7$.
Subtract 2x: $6 = 7$, which is false.
So there is no solution.

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