To solve the equation, we need to isolate the variable x.

First, let's simplify the right side of the equation:

43/4 - 18/5

To add or subtract fractions, we need a common denominator. The least common multiple of 4 and 5 is 20.

So, let's convert both fractions to have a denominator of 20:

43/4 = (43/4) * (5/5) = 215/20
18/5 = (18/5) * (4/4) = 72/20

Now, the equation becomes:

x + 0.25 = 215/20 - 72/20

To subtract the fractions, we subtract the numerators and keep the denominator:

x + 0.25 = (215 - 72)/20

x + 0.25 = 143/20

To isolate x, we subtract 0.25 from both sides of the equation:

x + 0.25 - 0.25 = 143/20 - 0.25

x = 143/20 - 0.25

To add or subtract fractions, we need a common denominator. The least common multiple of 20 and 4 is 20.

So, let's convert 0.25 to have a denominator of 20:

0.25 = (0.25) * (20/20) = 5/20

Now, the equation becomes:

x = 143/20 - 5/20

To subtract the fractions, we subtract the numerators and keep the denominator:

x = (143 - 5)/20

x = 138/20

Simplifying the fraction:

x = 69/10

Therefore, the solution to the equation is x = 69/10.