Question

Evaluate : $\frac{2}{3}x+\frac{1}{2}(x-5)=3$

Answer 1

$\frac{2}{3}x+\frac{1}{2}(x-5)=3$

$\Rightarrow {\frac{2}{3}}^{\times 2}x+{\frac{x}{2}}^{\times 3}-\frac{5}{2}=\frac{6}{2}$

$\Rightarrow \frac{7x}{6}=\frac{11}{2}$

$\Rightarrow x=\frac{6\times 11}{7\times 2}=\frac{33}{7}$.