SOLUTION: A common mistake when solving equations is the following: The equation: 2(x - 2) = x + 3 First step in solving: 2x - 2 = x + 3 Write a clear explanation of what error has been m

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: A common mistake when solving equations is the following: The equation: 2(x - 2) = x + 3 First step in solving: 2x - 2 = x + 3 Write a clear explanation of what error has been m      Log On


   



Question 63006: A common mistake when solving equations is the following:
The equation: 2(x - 2) = x + 3
First step in solving: 2x - 2 = x + 3
Write a clear explanation of what error has been made. What could be done to
avoid this error?

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
A common mistake when solving equations is the following:
The equation: 2(x - 2) = x + 3
First step in solving: 2x - 2 = x + 3
Write a clear explanation of what error has been made. What could be done to
avoid this error?
The common mistake is not distributing the 2 to everything within the parentheses. You can avoid the mistake, by either writing arrows connecting the 2 to everything within the parentheses, or by doing this:
2(x)+2(-2)=x+3
2x-4=x+3
:
Notice that the -2 was supposed to be -4.
Happy Calculating!!!