2 x − 4 1 (x− 3 1 )= 6 1 (x+1)+ 12 1
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Answer:
\begin{gathered} Given \: simple \: Equation: \\\frac{x}{2} - \frac{1}{4}\Big(x-\frac{1}{3}\Big) = \frac{1}{6}(x+1) + \frac{1}{12} \end{gathered}
GivensimpleEquation:
2
x
−
4
1
(x−
3
1
)=
6
1
(x+1)+
12
1
/* Multiplying each term by 12 , we get */
\implies \frac{12x}{2} - \frac{12}{4}\Big(x-\frac{1}{3}\Big) = \frac{12}{6}(x+1) + \frac{12}{12}⟹
2
12x
−
4
12
(x−
3
1
)=
6
12
(x+1)+
12
12
\implies 6x - 3\Big(x-\frac{1}{3}\Big) = 2(x+1)+1⟹6x−3(x−
3
1
)=2(x+1)+1
\implies 6x - 3x + 1 = 2x + 2 + 1⟹6x−3x+1=2x+2+1
\implies 3x + 1 = 2x + 3⟹3x+1=2x+3
\implies 3x - 2x = 3 - 1⟹3x−2x=3−1
\implies x = 2⟹x=2
Therefore.,
\red {Value \:of \:x }\green {= 2 }Valueofx=2
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Answer:
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