What is the solution to this equation? 30.16=17.56+5x

The equation is written below,

   30.16 = 17.56 + 5x

First, subtract 17.56 from both sides of the equation,
  30.16 - 17.56 = 17.56 + 5x - 17.56

This will give us 12.6 = 5x

Then, divide both sides of the equation by 5.
    12.6/5 = 5x/5

Simplifying, 
    2.52 = x

Thus, the value of x is 2.52. 

The answer to this question is to first express the equation of 30.16=17.56+5x, so then 5x= 30.16-17.56=12.6 so then x = 12.6/5=2.52. In other words, by moving the 17.56 to the other side of the equation, the sign is changed to - and this gives a value to equal to the 5x and then just cross divide the 5 into the 12.6 to get the correct answer. 

A. -10 is the value of x