Question

\(x-40\%\times x=3,6\)

\(3\frac{2}{7}\times x-\frac{1}{3}=-2\frac{3}{4}\)

\(-\frac{4}{7}+\frac{5}{7}\div x=\frac{1}{6}\)

\(\left(\frac{3x}{7}+1\right)\div\left(-4\right)=-\frac{1}{28}\)

\(-\frac{3}{x-2}=\frac{4}{-20}\)

Answer 1

\(x-40\%x=3,6\)

\(\Rightarrow100\%x-40\%x=3,6\)

\(\Rightarrow60\%x=3,6\)

\(\Rightarrow\frac{60}{100}x=3,6\)

\(\Rightarrow x=6\)

Answer 2

\(3\frac{2}{7}x-\frac{1}{3}=-2\frac{3}{4}\)

\(\Rightarrow\frac{23}{7}x-\frac{1}{3}=-\frac{11}{4}\)

\(\Rightarrow\frac{23}{7}x=-\frac{33}{12}+\frac{4}{12}\)

\(\Rightarrow\frac{23}{7}x=\frac{29}{12}\)

\(\Rightarrow x=\frac{29}{12}:\frac{23}{7}=\frac{203}{276}\)

Answer 3

\(-\frac{4}{7}+\frac{5}{7}:x=\frac{1}{6}\)

\(\Rightarrow\frac{5}{7}:x=\frac{1}{6}+\frac{4}{7}\)

\(\Rightarrow\frac{5}{7}:x=\frac{7}{42}+\frac{24}{42}\)

\(\Rightarrow\frac{5}{7}:x=\frac{33}{42}\)

\(\Rightarrow x=\frac{5}{7}:\frac{33}{42}\)

\(\Rightarrow x=\frac{5}{7}.\frac{6.7}{33}=\frac{30}{33}\)

Answer 4

\(\left(\frac{3x}{7}+1\right):\left(-4\right)=-\frac{1}{28}\)

\(\Rightarrow\frac{`3x+7}{7}.\frac{-1}{4}=\frac{-1}{28}\)

\(\Rightarrow\frac{-4\left(3x+7\right)}{28}=\frac{-1}{28}\)

\(\Rightarrow4\left(3x+7\right)=1\)

\(\Rightarrow12x+28=1\)

\(\Rightarrow12x=-27\)

\(\Rightarrow x=\frac{-27}{12}\)

Answer 5

\(\frac{-3}{x-2}=\frac{-4}{20}\)

\(\Rightarrow\frac{3}{x-2}=\frac{4}{20}\)

\(\Rightarrow4\left(x-2\right)=3.20\)

\(\Rightarrow4x-8=60\)

\(\Rightarrow4x=52\)

\(\Rightarrow x=13\)