What is 2/((\frac{5){x-1})+3} ?

The solution to 2/((\frac{5){x-1})+3} is (2(x-1))/(3x+2)

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simplify 2/((\frac{5){x-1})+3}

simplify

\frac{2}{( \frac{5}{x - 1} ) + 3}

\frac{2 ( x - 1 )}{3 x + 2}

Solution steps

\frac{2}{( \frac{5}{x - 1} ) + 3}

Apply rule:

(a) = a

(\frac{5}{x - 1}) = \frac{5}{x - 1}

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

Join

\frac{5}{x - 1} + 3 : \frac{3 x + 2}{x - 1}

= \frac{2}{\frac{3 x + 2}{x - 1}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{2 ( x - 1 )}{3 x + 2}

(1 + r)^{3}

\frac{x ^{4} + 2 x ^{3} - 3 x ^{2}}{x ^{4} + 2 x ^{3} + 2 x ^{2} + 10 x - 15}

7 + 3 (1 - 2 x)

8 1^{4}

- 227 - 7147

What is 2/((\frac{5){x-1})+3} ?
The solution to 2/((\frac{5){x-1})+3} is (2(x-1))/(3x+2)