To solve this equation, we need to simplify the expression on the left side and then solve for x.

First, let's simplify the expression:

( x+ 5/6) • 2 2/ 5 -1 1/4

To multiply fractions, we multiply the numerators together and the denominators together:

( x+ 5/6) • 12/5 - 5/4

Next, we need to find a common denominator for 5 and 4, which is 20:

( x+ 5/6) • (12/5)(4/4) - (5/4)(5/5)

Simplifying further:

( x+ 5/6) • 48/20 - 25/20

Now, we can combine the fractions:

( x+ 5/6) • (48 - 25)/20

( x+ 5/6) • 23/20

Now, let's distribute the ( x+ 5/6) to the (23/20):

(23/20) x + (23/20)(5/6)

23x/20 + 115/120

Now, let's combine the fractions:

23x/20 + 115/120 = 35%

To convert 35% to a fraction, we divide by 100:

35/100 = 7/20

Now, our equation becomes:

23x/20 + 115/120 = 7/20

To get rid of the denominators, we can multiply both sides of the equation by the least common multiple (LCM) of 20 and 120, which is 240:

240 * (23x/20) + 240 * (115/120) = 240 * (7/20)

Simplifying further:

276x + 115 * 2 = 7 * 12

276x + 230 = 84

Subtracting 230 from both sides:

276x = -146

Dividing both sides by 276:

x = -146/276

Simplifying the fraction:

x = -73/138

Therefore, the solution to the equation is x = -73/138.