You can put this solution on YOUR website!
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Do the distributive multiplication on the right side of this equation by multiplying
3 times m and then 3 times -5 to make the equation become:
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On the right side add the two constants -15 and + 7 to get -8. When you do that, the equation
becomes:
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Next you can move the 3m to the left side of the equation by subtracting 3m from both sides.
This subtraction eliminates the 3m on the right side. On the left side you directly
subtract the 3m from the 5m to get 2m. The result is that the equation becomes:
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Then move the + 9 to the right side of the equation by subtracting 9 from both sides.
This eliminates the 9 on the left side. On the right side you combine the -9 and the -8 to get
-17. This makes the equation:
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Finally divide both sides of the equation by 2 to get:
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or doing the division on the right side and expressing the answer in decimal form
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You can check this answer by returning to the original equation and substituting -8.5 for
m.
When you do all the multiplication, addition, and subtraction, you should find that the
left side of the equation equals the right side. If it does, the answer is correct.
Hope this helps you to understand equations and algebraic manipulations.
You can put this solution on YOUR website! 5m+9=3(m-5)+7
5m+9=3(m)+3(-5)+7
5m+9=3m-15+7
5m+9=3m-8
5m-3m+9=3m-3m-8
2m+9=-8
2m+9-9=-8-9
2m=-17
2m/2=-17/2
Happy Calculating!!!
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