Tick ( ) the correct answer: If 6x+1 3 = x-3 6 then x=? - Vidyadip

MCQ

Tick $(\checkmark)$ the correct answer: If $\frac{6\text{x}+1}{3}=\frac{\text{x}-3}{6}$ then $\text{x}=?$

A
$1$
✓
$-1$
C
$3$
D
$-3$

✓

Answer

Correct option: B.

$-1$

$\Rightarrow\frac{6\text{x} +1 }{3} = \frac{\text{x}{ - 3}}{{6}}$
$\Rightarrow \frac{6\text{x} + 1 + 3}{3} =\frac{\text{ x} − 3}{6}$
$\Rightarrow 6 ( 6\text{x} + 4) = 3 ( \text{x} - 3 )$
$\Rightarrow 36\text{x} + 24 = 3\text{x} - 9$
$\Rightarrow 36\text{x} - 3\text{x} = -24 -9$
$\Rightarrow 33\text{x} = -33$
$\Rightarrow \text{x} =\frac{-33}{33}= -1$

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