exam Maths Puzzle Numerical Ability

A common mistake when solving equations is the following:
The equation: 2(x-2) = x + 3
First step in solving: 2x- 2= x + 3

How do I write a explanation of what error has been made. What could be done to
avoid this error?

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exam Other Question

A small firm produces both AM and AM/FM car radios. The AM radios take 15h to produce, and the AM/FM radios take 20h to produce. The number of production hours is limited to 300h w Please to find the inverse function of f in f(x)=3x+1
Thanks