Question

Sort the following operations done on both sides of the equation, $\frac{2x-3}{3}-2=5$, to get the solution.

• A. Add 2
• B. Add 3
• C. Divide by 2
• D. Multiply by 3

Answer 1

The given equation is $\frac{2x-3}{3}-2=5$.

Adding 2 to both sides of the equation, we get
$\Rightarrow \frac{2x-3}{3}-2+2=5+2\Rightarrow \frac{2x-3}{3}=7$

Now, multiplying both sides by 3, we obtain
$\Rightarrow \frac{2x-3}{3}\times 3=7\times 3\Rightarrow 2x-3=21$

After adding 3 to both the sides, we have
$\Rightarrow 2x-3+3=21+3\Rightarrow 2x=24$

Dividing both sides by 2, we find
$\Rightarrow \frac{2x}{2}=\frac{24}{2}\Rightarrow x=12$