To put this into words, the equation is saying that one less than 4x + 3x is equal to 6.
First simplify by combining like terms. We see there is a 4x and 3x, which means that they are compatible with each other. The equation will then look like
. If one less than 7x is 6, then this can also mean one more than 6 is equal to 7x. So add 1 to both sides:

-->
, which means that x = 1.
Checking your work:
Now that we know the value of x, substitute that for x in the equation like this:

-->

--->

So you know it's true that x = 1. Hope this was helpful.