Four equals to three

Algebra Level 2

Kimmie wants to prove that \(4=3\).

She starts off with the equation \(a-b=c\) which is equivalent to

\[ \large 4a-3a-4b+3b = 4c-3c \]

She moved the variables to obtain \(4a-4b-4c = 3a-3b-3c \) and factorized it to

\[\large 4(a-b-c) = 3(a-b-c)\]

Finally, she cancelled both sides to obtain \( 4=3\).

What is the error in Kimmie's work?

Image credit: IIT Bombay.

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