To solve the equation, we need to simplify both sides and then isolate the variable.

Starting with the left side of the equation:
3x + (3/5)x + 2

To combine like terms, we add the coefficients of x:
(3 + 3/5)x + 2

To add the fractions, we need a common denominator, which is 5:
(15/5 + 3/5)x + 2
(18/5)x + 2

Now let's simplify the right side of the equation:
6x + (5/10)x + 2

To combine like terms, we add the coefficients of x:
(6 + 5/10)x + 2

To add the fractions, we need a common denominator, which is 10:
(60/10 + 5/10)x + 2
(65/10)x + 2

Now our equation becomes:
(18/5)x + 2 = (65/10)x + 2

To eliminate the fractions, we can multiply both sides of the equation by 10:
10 * [(18/5)x + 2] = 10 * [(65/10)x + 2]
(10/1) * (18/5)x + (10/1) * 2 = (10/1) * (65/10)x + (10/1) * 2
(180/5)x + 20 = (650/10)x + 20

Now we can simplify both sides:
(36/1)x + 20 = (65/1)x + 20

To isolate the variable, we can subtract (36/1)x from both sides:
(36/1)x + 20 - (36/1)x = (65/1)x + 20 - (36/1)x
20 = (65/1)x - (36/1)x + 20

Simplifying further:
20 = (29/1)x + 20

To isolate the variable, we can subtract 20 from both sides:
20 - 20 = (29/1)x + 20 - 20
0 = (29/1)x

Since any number multiplied by 0 is 0, we can conclude that x = 0.

Therefore, the solution to the equation is x = 0.