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 [tex]7x - 1 = 6[/tex]. 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: [tex]7x - (-1 + 1) = (6 + 1)[/tex]
--> [tex]7x = 7[/tex], 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:
[tex]4(1) + 3(1) - 1 = 6[/tex]
--> [tex]4 + 3 - 1 = 6[/tex]
---> [tex]7 - 1 = 6[/tex]
So you know it's true that x = 1. Hope this was helpful.
