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Answer 1 · 2016-06-20T17:34:20

The format of the question is not clear.
$b = 3/24 = 1/8 " or "b = -20/3 = -6 2/3$

The format of the question is not clear.

It could be $3/(3b) + 4 = 2/b - 4" " or " " 3/(3b + 4) = 2/(b - 4)$

In $3/(3b) + 4 = 2/b - 4 " multiply by 3b to cancel the denominators"$

$color(red)(3b)xx3/(3b) + 4xxcolor(red)(3b) = 2/bxxcolor(red)(3b) - 4xxcolor(red)(3b)$

$cancelcolor(red)(3b)xx3/cancel(3b) + 4xxcolor(red)(3b) = 2/cancelbxxcolor(red)(3cancelb) - 4xxcolor(red)(3b)$

$3 + 12b = 6 - 12b$

$24b= 3$

$b = 3/24 = 1/8$

In $3/(3b + 4) = 2/(b - 4) " "$ There is one fraction on each side of $" "$ the equal sign, so we can cross multiply.

$2(3b + 4) = 3(b-4)$

$6b + 8 = 3b -12$

$3b = -20$

$b = -20/3 = -6 2/3$