Fractional linear equations
10= 3 over 5 (x+5)

At first glance I believe you meant   10 = (3/5)(x+5).  It's important that you share the instructions for each problem you post; I assume they state:  "solve the following fractional linear equation for x."

Here are two approaches.  Take your pick.
1) Distribute the multiplier (3/5) over (x+5).  Resulting equation is

10=(3/5)x + 3.  Subtr. 3 from both sides:  7=(3/5)x.  Mult both sides by (5/3).  Result:  (35/3)=x.

2) Mult. the original equation by 5 to remove fractions:  50=3(x+5).  Multiply out 3(x+5), to obtain 50=3x +15.  Subtr. 15 from both sides.  Result:
35=3x.  Divide both sides by 3.