Answer
The solution lies between the integers 5 and 6.
Work Step by Step
First, you need to get a graphic calculator and use the table feature to solve this equation.
You will be given the choice to input multiple equations, either as $y_{1}$ and $y_{2}$ or $f(x)$ and $g(x)$.
Input $4x+18$ as $y_{1}$ and $9x-9$ as $y_{2}$.
Set the starting value as 0 and the step value to be 1, as asked in the question.
The calculator will then display the table for both of the equations. You are looking for the 2 integer values of $x$ for which the answers for $y_{1}$ and $y_{2}$ are close or similar.
In this case, as seen by the picture below, we can see that at the $x$ value 5 the answers for the 2 equations are 38 and 36, which is only a difference of 2, and the same can be said for the $x$ value 6, which outputs 42 and 45, which is only a difference of 3, which is very close together. All other values of $x$ output numbers for the equations with very large differences.
This means that the solution must lie between 5 and 6.
