To solve this equation, we need to first simplify both sides of the equation:

7x - 5x + 4x - 38 = 30 + 4

Combining like terms:

6x - 38 = 34

Now we need to isolate the variable by adding 38 to both sides:

6x = 72

Dividing both sides by 6 to solve for x:

x = 12

Therefore, the solution to the equation is x = 12.