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

First, let's convert the mixed number 3 1/5 to an improper fraction:
3 1/5 = (3 * 5 + 1) / 5 = 16/5

Now, let's convert the decimal 1.6 to a fraction:
1.6 = 1 + 0.6 = 1 + 6/10 = 1 + 3/5 = 8/5

The equation becomes:
16/5 - x = 8/5 + 7/10

To simplify the equation, let's find a common denominator for the fractions on the right side. The least common multiple (LCM) of 5 and 10 is 10. So, we can rewrite the equation as:
16/5 - x = (8/5) * (2/2) + 7/10
16/5 - x = 16/10 + 7/10

Now, we can combine the fractions on the right side:
16/5 - x = 23/10

To eliminate the fractions, let's multiply both sides of the equation by 10:
10 * (16/5 - x) = 10 * (23/10)
(10 * 16)/5 - 10x = 23

Simplifying the left side:
(160/5) - 10x = 23
32 - 10x = 23

Next, let's isolate the variable x by subtracting 32 from both sides:
32 - 32 - 10x = 23 - 32
-10x = -9

Finally, divide both sides by -10 to solve for x:
(-10x)/-10 = (-9)/-10
x = 9/10

Therefore, the solution to the equation is x = 9/10.