To solve the first equation, we distribute the 2 to (x-4) to simplify it:

8x + 2x - 8 = 92
10x - 8 = 92

Add 8 to both sides:

10x = 100

Divide by 10:

x = 10

Now, we can plug in x = 10 into the second equation to verify:

6(10 + 15) = 126
6(25) = 126
150 = 126

Since 150 does not equal 126, x = 10 is not a valid solution after all. Let's go back and correct the first equation:

8x + 2*(x-4) = 92

8x + 2x - 8 = 92
10x - 8 = 92
10x = 100
x = 10

So, x = 10 is the correct solution. Let's check the second equation again:

6(10 + 15) = 126
6(25) = 126
150 = 126

It seems there was a mistake in the second equation. Let's correct it:

6*(x+15) = 126

6(10+15) = 126
6(25) = 126

So, the correct solution is x = 10 for both equations.