Question

\(\frac{11}{13}-\left(\frac{5}{42}-x\right)=-\left(\frac{5}{28}-\frac{11}{13}\right)\)

Answer 1

11/13-(5/42-x)= 243/364

5/42-x=243/364- 11/13

5/42-x= -5/28

x=5/42-(-5/28)

x=25/84

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Answer 2

\(\frac{11}{13}-\left(\frac{5}{42}-x\right)=-\left(\frac{5}{28}-\frac{11}{13}\right)\)

\(\frac{11}{13}-\frac{5}{42}+x=-\frac{5}{28}+\frac{11}{13}\)

=> \(x=-\frac{5}{28}+\frac{11}{13}-\frac{11}{13}+\frac{5}{42}\)

=> \(x=-\frac{5}{28}+\frac{5}{42}\)

=> \(x=-\frac{210}{1176}+\frac{140}{1176}=\frac{-70}{1176}=\frac{-5}{84}\)

Answer 3

\(\frac{11}{13}-\left(\frac{5}{42}-x\right)=-\left(\frac{5}{28}-\frac{11}{13}\right)\)

\(\frac{11}{13}-\left(\frac{5}{42}-x\right)=\frac{243}{364}\)

\(\frac{5}{42}-x=\frac{11}{13}-\frac{243}{364}\)

\(\frac{5}{42}-x=\frac{5}{28}\)

\(x=\frac{5}{42}-\frac{5}{28}\)

\(x=-\frac{5}{84}\)

Answer 4

\(\frac{11}{13}-\left(\frac{5}{42}-x\right)=-\left(\frac{5}{28}-\frac{11}{13}\right)\)
\(\Rightarrow\frac{11}{13}-\frac{5}{42}+x=-\frac{5}{28}+\frac{11}{13}\)
\(\Rightarrow x=-\frac{5}{28}+\frac{11}{13}-\frac{11}{13}+\frac{5}{42}\)
\(\Rightarrow x=\left(\frac{11}{13}-\frac{11}{13}\right)-\left(\frac{5}{28}-\frac{5}{42}\right)\)
\(\Rightarrow x=-\left(\frac{15}{84}-\frac{10}{84}\right)\)
\(\Rightarrow x=-\frac{5}{84}\)

Answer 5

\(\frac{11}{16}-\left(\frac{5}{42}-x\right)=-\left(\frac{5}{28}-\frac{11}{13}\right)\)

\(\frac{11}{16}-\left(\frac{5}{42}-x\right)=-\left(-\frac{243}{364}\right)\)

\(\frac{11}{16}-\left(\frac{5}{42}-x\right)=\frac{243}{364}\)

\(\frac{5}{42}x=\frac{11}{16}-\frac{243}{364}\)

\(\frac{5}{42}x=\frac{29}{1456}\)

\(x=\frac{29}{1456}:\frac{5}{42}=\frac{87}{520}\)

Answer 6

\(\frac{11}{13}-\left(\frac{5}{42}-x\right)=-\left(-\frac{243}{364}\right)\)

\(\left(\frac{5}{42}-x\right)=\frac{11}{13}-\frac{243}{364}\)

\(\frac{5}{42}-x=\frac{5}{28}\)

\(x=\frac{5}{42}-\frac{5}{28}\)

\(x=-\frac{5}{84}\)