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