Question

Solve:
$\frac{2}{3}(x+\frac{3}{5})=\frac{7}{2}$

Answer 1

$\frac{2}{3}(x+\frac{3}{5})=\frac{7}{2}$

$x+\frac{3}{5}=\frac{7}{2}\times \frac{3}{2}$ [Transpose $\frac{2}{3}$ to right side]

$x+\frac{3}{5}=\frac{21}{4}$

$x=\frac{21}{4}-\frac{3}{5}$ [Transpose $\frac{3}{5}$ to right side]

$=\frac{21\times 5-3\times 4}{4\times 5}$

$=\frac{105-12}{20}=\frac{93}{20}$

$\therefore x=\frac{93}{20}=4\frac{13}{20}$