If x−43−2x+16=5x+12 , then x=

x−43−2x+16=5x+12 ⇒2(x−4)−(2x+1)6=5x+12⇒2x−8−2x−1=15x+3⇒−9=15x+3⇒x=−1215⇒x=−45

If x−43−2x+16=5x+12 , then x=

x−43−2x+16=5x+12 ⇒2(x−4)−(2x+1)6=5x+12⇒2x−8−2x−1=15x+3⇒−9=15x+3⇒x=−1215⇒x=−45

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If $\frac{x - 4}{3} - \frac{2 x + 1}{6} = \frac{5 x + 1}{2}$ , then x=

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\frac{3}{5}

\frac{4}{5}

\frac{5}{6}

\frac{- 4}{5}

answer is D.

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Detailed Solution

$\frac{x - 4}{3} - \frac{2 x + 1}{6} = \frac{5 x + 1}{2}$

$\Rightarrow \frac{2 (x - 4) - (2 x + 1)}{6} = \frac{5 x + 1}{2}$

$\Rightarrow 2 x - 8 - 2 x - 1 = 15 x + 3$

$\Rightarrow - 9 = 15 x + 3$

$\Rightarrow x = - \frac{12}{15}$

$\Rightarrow x = - \frac{4}{5}$

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If $\frac{x - 4}{3} - \frac{2 x + 1}{6} = \frac{5 x + 1}{2}$ , then x=