Answer:
<em><u>x</u></em><u> = 5</u>
Step-by-step explanation:
2<em>x</em>³ – 64 = <em>x</em>³ + 61
We need to solve this for <em>x</em>, right? Let's get started by isolating <em>x</em>.
First, we need to isolate one of the <em>x</em>-terms, either by <em>adding</em> 64 or <em>subtracting</em> 61. Here, I chose to <em>add</em> 64, since I find negatives tricky:
2<em>x</em>³ – 64 + 64 = <em>x</em>³ + 61 + 64
2<em>x</em>³ = <em>x</em>³ + 125 — simplifying the expression
Now, we need to isolate the <em>x</em>³. We can do this by <em>subtracting</em> the <em>x</em>³ from both sides:
2<em>x</em>³ – <em>x</em>³ = <em>x</em>³ – <em>x</em>³ + 125
<em>x</em>³ = 125 — simplifying
Now all we need to do is take the cube root of both sides to find <em>x</em>
∛(<em>x</em>³) = ∛(125)
<em>x</em> = 5 — simplifying
Here we go! The answer is 5!
Hope this helps you understand! Have a great day!
