Answer
The solution can be identified in the attached graph. Step-by-step breakdown: Method 1: Starting with the equation [tex]8 – 4x = 2x – 4[/tex], we can represent it as two separate equations: [tex]y = 8 – 4x[/tex] (equation A) and [tex]y = 2x – 4[/tex] (equation B). By using a graphing tool, we find that the point of intersection of these two graphs provides the solution, which is indicated in the attached figure where [tex]x = 2[/tex]. Method 2: Rearranging the initial equation [tex]8 – 4x = 2x – 4[/tex], we get all x terms on one side and constants on the other: [tex]4x + 2x = 8 + 4[/tex]. This simplifies to [tex]6x = 12[/tex]. Dividing both sides by [tex]6[/tex], we find [tex]x = 2[/tex].
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