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Question

Solve for \(x\) in the eqaution: \(\frac{x}{3}+1=\frac{7}{15}\)

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Solution

\(\frac{x}{3}+1=\frac{7}{15}\)
\(\Rightarrow \frac{x}{3}+1-1=\frac{7}{15}-1\) [Subtracting 1 from both sides]
\(\Rightarrow \frac{x}{3}=\frac{7-15}{15}\)
\(\Rightarrow \frac{x}{3}=\frac{-8}{15}\)
\(\Rightarrow \frac{x}{3}\times 3 =\frac{-8}{15} \times 3\) [Multiplying both sides by 3]
\(\Rightarrow x=\frac{-8}{5}\)

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