document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #410913 by KMST(5328) $\"\"$ $\"About$

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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.
\n" ); document.write( "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.
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\n" ); document.write( "First, I would get rid of pesky denominators by multiplying both sides of the equation times 5:
\n" ); document.write( " $\"2h%2F5%2B5=-2-h\"$ --> $\"5%2A%282h%2F5%2B5%29=5%2A%28-2-h%29\"$ --> $\"5%2A%282h%2F5%29%2B5%2A5=5%2A%28-2%29-h%2A5%29\"$ --> $\"2h%2B25=-10-5h%29\"$
\n" ); document.write( "I am showing it as many baby steps, but your teacher may be satisfied if you show it as just one step.
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\n" ); document.write( "Next, I would add $\"5h\"$ to both sides of the equation:
\n" ); document.write( " $\"2h%2B25=-10-5h%29\"$ --> $\"2h%2B25%2B5h=-10-5h%2B5h%29\"$ --> $\"7h%2B25=-10%29\"$
\n" ); document.write( "Again, I am showing it as 2 baby steps, but your teacher may be satisfied if you show it as just one step.
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\n" ); document.write( "Next, I would subtract $\"25\"$ from both sides of the equation:
\n" ); document.write( " $\"7h%2B25=-10%29\"$ --> $\"7h%2B25-25=-10-25%29\"$ --> $\"7h=-35%29\"$
\n" ); document.write( "Again, I am showing it as 2 baby steps, but your teacher may be satisfied if you show it as just one step.
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\n" ); document.write( "Finally, I would divide both sides of the equal sign by $\"7\"$ . Done in 2 baby steps, that is
\n" ); document.write( " $\"7h=-35%29\"$ --> $\"7h%2F7=-35%2F7%29\"$ --> $\"highlight%28h=-5%29%29\"$
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\n" ); document.write( "In general, to solve this type of equation, you first transform it into a simpler equation, like $\"7h%2B25=-10%29\"$ 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 $\"5h\"$ ) to have the variable on only one side of the equal sign.
\n" ); document.write( "To simplify your equation, you may even have to apply the distributive property, as in
\n" ); document.write( " $\"3%282x%2B7%29=27\"$ --> $\"3%282x%29%2B3%2A7=27\"$
\n" ); document.write( "which would lead you to $\"6x%2B21=27\"$ .
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\n" ); document.write( "Once you have a simpler equation like $\"7h%2B25=-10%29\"$ , you have to think of what is being done to the variable, and \"undo\" it in the reverse order. $\"7h%2B25\"$ means that $\"h\"$ is first multiplied by $\"7\"$ and then $\"25\"$ is addded to the result. To undo those steps in reverse order, you would first subtract $\"25\"$ , and then divide by $\"7\"$ . 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. \n" ); document.write( "

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