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

First, let's simplify the equation by combining like terms on the left side:

X - 6/15 + x = 9/48

Combining the x terms:

2x - 6/15 = 9/48

Next, let's find a common denominator for the fractions on both sides. The least common multiple of 15 and 48 is 240.

Multiplying the first fraction by 16/16 and the second fraction by 5/5:

(2x * 16/16) - (6/15 * 16/16) = (9/48 * 5/5)

32x/16 - 96/240 = 45/240

Simplifying:

2x - 96/240 = 45/240

Now, let's add 96/240 to both sides to isolate the x term:

2x - 96/240 + 96/240 = 45/240 + 96/240

2x = 141/240

Finally, divide both sides by 2 to solve for x:

x = (141/240) / 2

x = 141/480

Therefore, the solution to the equation is x = 141/480.