Respuesta :

Answer:

x = - 60/7 = 8.57

Explanation:

The initial expression is:

[tex]\frac{10}{7}-x=\frac{0.1}{0.01}[/tex]

Now, we can solve the expression of the right side of the equation:

[tex]\frac{10}{7}-x=10[/tex]

Then, add x to both sides of the equation:

[tex]\begin{gathered} \frac{10}{7}-x+x=10+x \\ \frac{10}{7}=10+x \end{gathered}[/tex]

Finally, subtract 10 from both sides:

[tex]\begin{gathered} \frac{10}{7}-10=10+x-10 \\ \frac{10}{7}-10=x \\ \frac{10}{7}-\frac{10}{1}=x \\ -\frac{60}{7}=x \\ -8.57=x \end{gathered}[/tex]

Therefore, the answer is x = -8.57

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