Question

In the algebraic expression, $2x-\frac{1}{2}=\frac{3}{2}$, the value of unknown is

• A. 0
• B. 1
• C. 2
• D. 3

Answer 1

The correct option is B 1

Given, $2x-\frac{1}{2}=\frac{3}{2}$
We need to solve $x$ by isolating it to one side of the equation.

Step 1: Add $\frac{1}{2}$ to both sides of the equation to eliminate the constant on the left side of the equation.
$\Rightarrow 2x-\frac{1}{2}+\frac{1}{2}=\frac{3}{2}+\frac{1}{2}$

$2x=\frac{3+1}{2}$

$2x=\frac{4}{2}$

$2x=2$

Step 2: Now, Divide both sides by 2 to eliminate 2 on the left side of the equation.
$\Rightarrow \frac{2x}{2}=\frac{2}{2}$
$\Rightarrow x=1$

$\text{Hence,}x\text{= 1}$