Solve the equation x+32-43=3x-73

The given equation is x+32-43=3x-73The LCM of 2 and 3 is 6(3x+9-8)6=(3x-7)3 3x+1 = 2(3x-7)3x+1=6x-14x=5

Solve the equation x+32-43=3x-73

The given equation is x+32-43=3x-73The LCM of 2 and 3 is 6(3x+9-8)6=(3x-7)3 3x+1 = 2(3x-7)3x+1=6x-14x=5

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Solve the equation $\frac{x + 3}{2} - \frac{4}{3} = \frac{3 x - 7}{3}$

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$x = 5$

$x = - 5$

$x = 4$

$x = - 4$

answer is A.

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Detailed Solution

The given equation is $\frac{x + 3}{2} - \frac{4}{3} = \frac{3 x - 7}{3}$

The LCM of 2 and 3 is 6

$\frac{(3 x + 9 - 8)}{6} = \frac{(3 x - 7)}{3}$

$3 x + 1 = 2 (3 x - 7)$

$3 x + 1 = 6 x - 14$

$x = 5$

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Solve the equation x+32-43=3x-73

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Solve the equation $\frac{x + 3}{2} - \frac{4}{3} = \frac{3 x - 7}{3}$