$$ 1 \leftarrow \quad $$ Solve. $$ \quad \sqrt[3]{x-7}-4=0 $$

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Solve the equation $$ \sqrt[3]{x-7}-4=0 $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$\sqrt[3]{x-7}-4=0$$
- step1: Move the constant to the right side:
  $$\sqrt[3]{x-7}=0+4$$
- step2: Remove 0:
  $$\sqrt[3]{x-7}=4$$
- step3: Simplify the equation:
  $$\left(\sqrt[3]{x-7}\right)^{3}=4^{3}$$
- step4: Evaluate:
  $$x-7=64$$
- step5: Move the constant to the right side:
  $$x=64+7$$
- step6: Add the numbers:
  $$x=71$$
- step7: Check the solution:
  $$x=71$$
The solution to the equation $$ \sqrt[3]{x-7}-4=0 $$ is $$ x=71 $$.
$$ x=71 $$

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