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Question 116091: m - 25 = -10
Answer by bucky(2189)   (Show Source):
You can put this solution on YOUR website! To solve equations such as this your goal is to collect the numbers on one side of the equal
sign and the variable on the other side.
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In this problem you have a -25 that is on the same side as the variable. You need to get rid
of it so that you have just the variable on the left side. You can cancel out the -25 by adding
+25 to the left side. But whatever you do to one side of an equation you must also do to the
other side to keep the equation balanced. So, if you add +25 to the left side, you must also
add +25 to the right side. Let's do it:
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m - 25 + 25 = -10 + 25
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On the left side the -25 and the +25 combine to give zero, and there is no need to show that
zero. So the left side becomes just m. On the right side the -10 and the +25 combine to
give +15. Putting these results into the equation gives you the answer:
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m = +15
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You have solved for m and you can check this by going back to the original problem of:
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m - 25 = -10
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and substituting +15 for m to get:
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+15 - 25 = -10
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Notice that on the left side the +15 and the -25 combine to give -10 and that result is
equal to the right side. So the problem checks out if m equals +15. The answer of
m = +15 is correct.
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Hope this helps you to understand the process of using the equal sign as a sign about which
you collect and simplify the variable terms on one side and also collect and simplify
the number terms on the other side as part of the process to find the answer.
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