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 be

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Question 86344: 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 venugopalramana(3286) About Me  (Show Source):
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A common mistake when solving equations is the following:
The equation: 2(x – 2) = x + 3
First step in solving: 2x – 2 = x + 3
THE ERROR IS IN LHS IN NOT MULTIPLYING WITH 2 EACH AND EVERY TERM IN THE BRACKET.
IT SHOULD BE
2*X-2*2 =2X-4 AND NOT 2X-2 ON LHS
THIS IS DISTRIBUTIVE PROPERTY OF MULTIPLICATION OVER ADDITION & SUBTRACTION.
ONE SHOULD PAY ATTENTION TO THIS PROPERTY TO AVOID SUCH MISTAKES
Write a clear explanation of what error has been made. What could be done to avoid this error?