Solve for x
\(\textbf{1)}\) \(\frac{2}{5}x=8\)
The answer is \(x=20\)
\(\,\,\,\,\,\,\frac{5}{2} \cdot \frac{2}{5}x=8 \cdot \frac{5}{2}\)
\(\,\,\,\,\,\,\frac{10}{10}x=\frac{8}{1} \cdot \frac{5}{2}\)
\(\,\,\,\,\,\,x=\frac{40}{2}\)
\(\,\,\,\,\,\,\)The answer is \(x=20\)
\(\textbf{2)}\) \(\frac{3}{4}x=6\)
The answer is \(x=8\)
\(\,\,\,\,\,\,\frac{4}{3} \cdot \frac{3}{4}x=6 \cdot \frac{4}{3}\)
\(\,\,\,\,\,\,\frac{12}{12}x=\frac{6}{1} \cdot \frac{4}{3}\)
\(\,\,\,\,\,\,x=\frac{24}{3}\)
\(\,\,\,\,\,\,\)The answer is \(x=8\)
\(\textbf{3)}\) \(\frac{7}{8}x=21\)
The answer is \(x=24\)
\(\,\,\,\,\,\,\frac{8}{7} \cdot \frac{7}{8}x=21 \cdot \frac{8}{7}\)
\(\,\,\,\,\,\,x=3 \cdot \frac{8}{1}\)
\(\,\,\,\,\,\,\)The answer is \(x=24\)
\(\textbf{4)}\) \(\frac{3}{5}x+3=15\)
The answer is \(x=20\)
\(\,\,\,\,\,\,\frac{3}{5}x+3=15\)
\(\,\,\,\,\,\,\frac{3}{5}x=12\)
\(\,\,\,\,\,\,\frac{5}{3} \cdot \frac{3}{5}x=12 \cdot \frac{5}{3}\)
\(\,\,\,\,\,\,\frac{15}{15}x=\frac{60}{3}\)
\(\,\,\,\,\,\,\)The answer is \(x=20\)
\(\textbf{5)}\) \(\frac{4}{5}x-7=-3\)
The answer is \(x=5\)
\(\,\,\,\,\,\,\frac{4}{5}x-7=-3\)
\(\,\,\,\,\,\,\frac{4}{5}x=4\)
\(\,\,\,\,\,\,\frac{5}{4} \cdot \frac{4}{5}x=4 \cdot \frac{5}{4}\)
\(\,\,\,\,\,\,\frac{20}{20}x=\frac{20}{4}\)
\(\,\,\,\,\,\,\)The answer is \(x=5\)
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