Question 659763
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:
{{{2h/5+5=-2-h}}} --> {{{5*(2h/5+5)=5*(-2-h)}}} --> {{{5*(2h/5)+5*5=5*(-2)-h*5)}}} --> {{{2h+25=-10-5h)}}}
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 {{{5h}}} to both sides of the equation:
{{{2h+25=-10-5h)}}} --> {{{2h+25+5h=-10-5h+5h)}}} --> {{{7h+25=-10)}}}
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 {{{25}}} from both sides of the equation:
{{{7h+25=-10)}}} --> {{{7h+25-25=-10-25)}}} --> {{{7h=-35)}}}
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 {{{7}}}. Done in 2 baby steps, that is
{{{7h=-35)}}} --> {{{7h/7=-35/7)}}} --> {{{highlight(h=-5))}}}
 
In general, to solve this type of equation, you first transform it into a simpler equation, like {{{7h+25=-10)}}} 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.
To simplify your equation, you may even have to apply the distributive property, as in
{{{3(2x+7)=27}}} --> {{{3(2x)+3*7=27}}}
which would lead you to {{{6x+21=27}}}.
 
Once you have a simpler equation like {{{7h+25=-10)}}}, you have to think of what is being done to the variable, and "undo" it in the reverse order. {{{7h+25}}} 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.