Question

Solve, $\frac{x-4}{3}+\frac{2x-3}{3}=\frac{5x-32}{3}-\frac{x+9}{3}$.

• A. 20
• B. 34
• C. 5
• D. 10

Answer 1

The correct option is B

34

$\frac{x-4}{3}+\frac{2x-3}{3}=\frac{5x-32}{3}-\frac{x+9}{3}$

$\Rightarrow \frac{x-4+2x-3}{3}=\frac{5x-32-x-9}{3}$

$\Rightarrow \frac{3x-7}{3}=\frac{4x-41}{3}$

$\Rightarrow 3x-7=4x-41$

$\Rightarrow 3x-4x=-41+7$

$\Rightarrow -x=-34$

$\Rightarrow x=34$