Solve the equation for x by graphing. -3x + 2 = 4^x + 2 x ≈ 2.72 x ≈ -0.36 x ≈ -0.24 x ≈ -0.15

x ≈ -0.24

Explanation:
Using a graphing tool to graph the given equation, we will end up with the graph shown in the attached image.

Now, to solve the equation means to find the x-intercept.

Taking a look at the graph, we would find that the x-intercept is somewhere between the -0.2 and the -0.3

This means that the best choice is x ≈ -0.24

We can check using algebraic substitution:
-3x + 2 = -3(-0.24) + 2 = 2.72
4ˣ +2 = 4⁻⁰.²⁴ + 2 = 2.7169
We can note that the two values are almost equal.

Hope this helps :)