# How do you solve 8q + 12 = 4(3 + 2q) ?

Jul 28, 2016

Our first step is to use the distributive property on the right side of the equation ($a \left(b + c\right) = a \cdot b + a \cdot c$):
$8 q + 12 = 12 + 8 q$
You may notice that both sides of the equation are the same, but the terms are flipped around. If this ever occurs, this means that the equation has infinite solutions. In other words, any number can be substituted for $q$ and it will be a solution.