First, following the order of operations, we need to get ride of the parenthesis. So let's develop 5(x-2), by multiplying the coefficient 5 by each number or variable inside of the parenthesis:
5(x-2) = 5*x + 5(-2) = 5x - 10
So 5(x-2) + 6 = 5x - 10 + 6
Now, you add the numbers between each others, and the variables between each others.
5x - 10 + 6 = 5x - 4.
So 5(x-2) + 6 = 5x - 4.
You can recheck your answer (Very important):
Let's use x = 2:
5(x-2) + 6 = 5(2-2) + 6 = 5(0) + 6 = 0 + 6 = 6.
5x - 4 = 5*2 - 4 = 10 - 4 = 6.
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Hope this Helps! :)