Question

solve for x : x/2 - 1/4( x-1/3 )= 1/6(x+1) + 1/12

Answer 1

$Given \: simple \: Equation: \\\frac{x}{2} - \frac{1}{4}\Big(x-\frac{1}{3}\Big) = \frac{1}{6}(x+1) + \frac{1}{12}$

/* Multiplying each term by 12 , we get */

$\implies \frac{12x}{2} - \frac{12}{4}\Big(x-\frac{1}{3}\Big) = \frac{12}{6}(x+1) + \frac{12}{12}$

$\implies 6x - 3\Big(x-\frac{1}{3}\Big) = 2(x+1)+1$

$\implies 6x - 3x + 1 = 2x + 2 + 1$

$\implies 3x + 1 = 2x + 3$

$\implies 3x - 2x = 3 - 1$

$\implies x = 2$

Therefore.,

$\red {Value \:of \:x }\green {= 2 }$

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Answer 2

Answer:

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Step-by-step explanation:

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