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

(x - 1/2) + 3/5 = 1/5

First, let's simplify the left side of the equation by finding a common denominator for the fractions:

(x - 1/2) + 3/5 = 1/5

To find a common denominator, we multiply the denominators of the fractions together:

2 * 5 = 10

Now, we can rewrite the equation with the common denominator:

(5/10)(x - 1/2) + (2/10)(3/5) = (2/10)(1/5)

Simplifying the fractions:

(5/10)(x - 1/2) + (2/10)(3/5) = (2/10)(1/5)

(5/10)x - (5/10)(1/2) + (2/10)(3/5) = (2/10)(1/5)

(5/10)x - (5/20) + (6/50) = (2/50)

Now, let's simplify further:

(5/10)x - (1/4) + (3/25) = (1/25)

To add the fractions, we need a common denominator:

4 * 25 = 100

Now, we can rewrite the equation with the common denominator:

(25/100)(5/10)x - (25/100)(1/4) + (25/100)(3/25) = (25/100)(1/25)

Simplifying the fractions:

(25/100)(5/10)x - (25/100)(1/4) + (25/100)(3/25) = (25/100)(1/25)

(125/1000)x - (25/100)(1/4) + (3/100) = (1/100)

Simplifying further:

(125/1000)x - (25/400) + (3/100) = (1/100)

Now, let's combine like terms:

(125/1000)x - (25/400) + (3/100) = (1/100)

To add the fractions, we need a common denominator:

400 * 100 = 40000

Now, we can rewrite the equation with the common denominator:

(100/40000)(125/1000)x - (100/40000)(25/400) + (100/40000)(3/100) = (100/40000)(1/100)

Simplifying the fractions:

(100/40000)(125/1000)x - (100/40000)(25/400) + (100/40000)(3/100) = (100/40000)(1/100)

(125/40000)x - (25/16000) + (3/4000) = (1/4000)

Now, let's combine like terms:

(125/40000)x - (25/16000) + (3/4000) = (1/4000)

To eliminate the fractions, we can multiply the entire equation by the common denominator, which is 4000:

4000 * [(125/40000)x - (25/16000) + (3/4000)] = 4000 * (1/4000)

Simplifying the equation:

125x - 100 + 12 = 1

125x - 88 = 1

Now, let's isolate the variable x by subtracting 88 from both sides of the equation:

125x - 88 - 88 = 1 - 88

125x - 176 = -87

Finally, let's solve for x by dividing both sides of the equation by 125:

(125x - 176)/125 = -87/125

x - 1.408 = -0.696

Now, let's isolate x by adding 1.408 to both sides of the equation:

x - 1.408 + 1.408 = -0.696 + 1.408

x = 0.712

Therefore, the solution to the equation is x = 0.712.