To solve the equation, we first need to combine like terms.

7/8x + 3/4x - 7 = 6

To get a common denominator for the fractions, we multiply the 3/4 by 2/2:

7/8x + 6/8x - 7 = 6
13/8x - 7 = 6

Now we isolate the variable by adding 7 to both sides:

13/8x = 13

To solve for x, we multiply both sides by the reciprocal of 13/8, which is 8/13:

x = (13 * 8) / 13
x = 8

Therefore, the solution to the equation is x = 8.