8olve for $$ x $$ $$ \frac{8.5 x}{9}=\frac{4.2}{5} $$ Enter your answer as a decimal in the box $$ x=\square $$

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Solve the equation $$ \frac{8.5x}{9}=\frac{4.2}{5} $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$\frac{8.5x}{9}=\frac{4.2}{5}$$
- step1: Divide the terms:
  $$\frac{17x}{18}=\frac{21}{25}$$
- step2: Multiply both sides of the equation by $$18:$$
  $$\frac{17x}{18}	imes 18=\frac{21}{25}	imes 18$$
- step3: Multiply the terms:
  $$17x=\frac{21	imes 18}{25}$$
- step4: Evaluate:
  $$17x=\frac{378}{25}$$
- step5: Multiply by the reciprocal:
  $$17x	imes \frac{1}{17}=\frac{378}{25}	imes \frac{1}{17}$$
- step6: Multiply:
  $$x=\frac{378}{425}$$
The solution to the equation $$ \frac{8.5x}{9}=\frac{4.2}{5} $$ is $$ x \approx 0.889412 $$.
$$ x \approx 0.889412 $$

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