Solve $$ \sqrt[3]{x-5.4}-12.3=19.9 $$ Round your answer to the nearest tenth.

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Solve the equation $$ \sqrt[3]{x-5.4}-12.3=19.9 $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$\sqrt[3]{x-5.4}-12.3=19.9$$
- step1: Rewrite the expression:
  $$\sqrt[3]{\frac{5x-27}{5}}-12.3=19.9$$
- step2: Move the constant to the right side:
  $$\sqrt[3]{\frac{5x-27}{5}}=19.9+12.3$$
- step3: Add the numbers:
  $$\sqrt[3]{\frac{5x-27}{5}}=32.2$$
- step4: Convert the expressions:
  $$\sqrt[3]{\frac{5x-27}{5}}=\frac{161}{5}$$
- step5: Simplify the equation:
  $$\left(\sqrt[3]{\frac{5x-27}{5}}ight)^{3}=\left(\frac{161}{5}ight)^{3}$$
- step6: Evaluate:
  $$\frac{5x-27}{5}=\frac{161^{3}}{125}$$
- step7: Multiply both sides of the equation by $$5:$$
  $$\frac{5x-27}{5}	imes 5=\frac{161^{3}}{125}	imes 5$$
- step8: Multiply the terms:
  $$5x-27=\frac{161^{3}	imes 5}{125}$$
- step9: Divide the terms:
  $$5x-27=\frac{161^{3}}{25}$$
- step10: Move the constant to the right side:
  $$5x=\frac{161^{3}}{25}+27$$
- step11: Add the numbers:
  $$5x=\frac{161^{3}+675}{25}$$
- step12: Multiply by the reciprocal:
  $$5x	imes \frac{1}{5}=\frac{161^{3}+675}{25}	imes \frac{1}{5}$$
- step13: Multiply:
  $$x=\frac{161^{3}+675}{125}$$
- step14: Check the solution:
  $$x=\frac{161^{3}+675}{125}$$
The solution to the equation $$ \sqrt[3]{x-5.4}-12.3=19.9 $$ is $$ x \approx 33391.648 $$. Rounding this to the nearest tenth, we get $$ x \approx 33391.6 $$.
$$ x \approx 33391.6 $$

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