1
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Question

# In the algebraic expression, x+147=12×6+13x, the value of unknown is

A
11
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B
12
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C
13
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D
14
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Solution

## The correct option is B 12Given, x+147=12×6+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. ⇒x+147=12×6+13x So, subtract x on both sides of the equation ⇒x−x+147=3+13x−x ⇒147=3+12x Step 2: Collect constant terms on other side of the equation by subtracting 3 from both the sides. ⇒147−3=3−3+12x⇒12x=144 Step 3: Make the coefficient of the variable term equal to 1 by dividing from 12 on both the sides. ⇒12x12=14412⇒x=12 Hence, x=12

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