The equation: 6x-(x+3) =5+2x

First step in solving: 6x-x+3=5+2x
Write a clear explanation of what error has been made and what could be done to avoid the mistake.

The + 3 should be a -3.

should have been 6x-x-3=5+2x

if you have brackets with only a negative sign in front, imagine it is -1, then multiply each term inside the bracket by -1, just as if it were any other integer.

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The error made in the equation is incorrectly assuming that the term "+3" inside the brackets can be directly subtracted. The correct way to deal with a negative term inside brackets is to distribute the negative sign to each term within the brackets.

To avoid this mistake, always remember to distribute the negative sign to each term inside the brackets when dealing with negative values. In this case, the correct equation should be: 6x - x - 3 = 5 + 2x.