Question 659763: Show working out to prove that -5 is the solution to the equation 2h/5+5=-2-h.Can show show me the steps on how to get -5?
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! There are many ways to get from point A to point B. I will show you the one that seemed best to me at this moment, after just one cup of morning coffee.
I'll over-explain (as I usually do) with lots of text, but I am sure your teacher expect you to write very little or noting as explanations.
First, I would get rid of pesky denominators by multiplying both sides of the equation times 5:
 -->  -->  --> 
I am showing it as many baby steps, but your teacher may be satisfied if you show it as just one step.
Next, I would add  to both sides of the equation:
-->  --> 
Again, I am showing it as 2 baby steps, but your teacher may be satisfied if you show it as just one step.
Next, I would subtract  from both sides of the equation:
-->  --> 
Again, I am showing it as 2 baby steps, but your teacher may be satisfied if you show it as just one step.
Finally, I would divide both sides of the equal sign by  . Done in 2 baby steps, that is
-->  --> 
In general, to solve this type of equation, you first transform it into a simpler equation, like with steps like getting rid of decimals/denominators (multiplying both sides of the equal sign by the same number), and adding or subtracting some term (like ) to have the variable on only one side of the equal sign.
To simplify your equation, you may even have to apply the distributive property, as in
 --> 
which would lead you to  .
Once you have a simpler equation like , you have to think of what is being done to the variable, and "undo" it in the reverse order.  means that  is first multiplied by and then is addded to the result. To undo those steps in reverse order, you would first subtract , and then divide by . If you apply those steps to both sides of the equal sign, the sides would still be equal all along, and you end op with the solution.
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