Question

In the algebraic expression, $x+147=\frac{1}{2}\times 6+13x$, the value of unknown is

• A. 11
• B. 12
• C. 13
• D. 14

Answer 1

The correct option is B 12

Given, $x+147=\frac{1}{2}\times 6+13x$
We need to solve $x$ by isolating it on one side of the equation.

Step 1 : Collect all variable terms on one side of the equation.
$\Rightarrow x+147=\frac{1}{2}\times 6+13x$

So, subtract $x$ on both sides of the equation
$\Rightarrow x-x+147=3+13x-x$
$\Rightarrow 147=3+12x$

Step 2: Collect constant terms on other side of the equation by subtracting 3 from both the sides.
$\Rightarrow 147-3=3-3+12x\Rightarrow 12x=144$

Step 3: Make the coefficient of the variable term equal to 1 by dividing from 12 on both the sides.
$\Rightarrow \frac{12x}{12}=\frac{144}{12}\Rightarrow x=12$

Hence, $x=12$