Question

Solve:

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

The value of $x$ is

• A. $2.2$
• B. $3.9$
• C. $4.1$
• D. $4.5$

Answer 1

The correct option is D $4.5$

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

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

$\frac{2x-15}{6}=\frac{-2x}{9}$

$18x-135=-12x$

$18x+12x=135$

$\therefore 30x=135$

$\therefore x=\frac{135}{30}=4.5$