How do you solve #4+ 7q = 6+ 6q#?

1 Answer
Dec 19, 2016

What we want is 'q' on one side of an equals sign and a number on the other. We do the same thing to both sides until we get there. In this case, #q = 2#.

Explanation:

We start with the equation:

#4 + 7q = 6 + 6q#

Our goal is to get q alone on the left side of the equation and a number on the right: that will be the 'solution' of this equation.

We have to do the same thing to both sides of the equation, so that they remain equal to each other.

First, let's subtract #6q# from both sides:

#4 + 7q - 6q = 6 + 6q - 6q#

#4 + q = 6#

Now let's subtract 4 from both sides:

#4 - 4 + q = 6-4#

#q = 2#