Question

Solve : (x + 3)/6 + 1 = (6x – 1)/3

Answer 1

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Step-by-step explanation:

(X+3)/6+1 = (6X-1)/3

(X+3)/7 = 6X-1/3

3(X+3) = 7(6X-1)

3X + 9 = 42X-7

42X -3X = 9+7

39X = 16

X= 16/39

Answer 2

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$\frac{x + 3}{ \cancel6} = \frac{6x - 1}{ \cancel3} \\ \\ \implies \frac{x + 3}{2} = 6x - 1 \\ \\ \implies x + 3 = 12x -2 \\ \\ \implies 12x - x = 3 + 2\\ \\ \implies 11x = 5\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies x = \cancel \frac{11}{5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \boxed{x = 2.2} \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

so, value of x is 2.2