Question

Solve:
$\frac{2}{3}(x-5)-\frac{1}{4}(x-2)=\frac{9}{2}$

Answer 1

$\frac{2}{3}(x-5)-\frac{1}{4}(x-2)=\frac{9}{2}$

$\Rightarrow x(\frac{2}{3}-\frac{1}{4})-\frac{10}{3}+\frac{1}{2}=\frac{9}{2}$

$\Rightarrow x\left(\frac{5}{12}\right)=4+\frac{10}{3}=\frac{22}{3}$

$\Rightarrow x=\frac{22}{3}\times \frac{12}{5}$

$\Rightarrow x=\frac{88}{5}$.