What is (3x-6)/2*8/(x-2) ?

The solution to (3x-6)/2*8/(x-2) is 12

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simplify (3x-6)/2*8/(x-2)

simplify

\frac{3 x - 6}{2} \cdot \frac{8}{x - 2}

12

Solution steps

\frac{3 x - 6}{2} \cdot \frac{8}{x - 2}

Apply the fraction rule:

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

= \frac{( 3 x - 6 ) \cdot 8}{2 ( x - 2 )}

Factor the number:

8 = 2 \cdot 4

= \frac{( 3 x - 6 ) \cdot 2 \cdot 4}{2 ( x - 2 )}

Cancel the common factor:

2

= \frac{( 3 x - 6 ) \cdot 4}{x - 2}

Factor

3 x - 6 : 3 (x - 2)

= \frac{3 ( x - 2 ) \cdot 4}{x - 2}

Cancel the common factor:

x - 2

= 3 \cdot 4

Multiply the numbers:

3 \cdot 4 = 12

= 12

(\frac{2 x ^{0} y ^{- 2}}{z})^{- 3}

(3 x^{2} - x - 7) - (5 x^{2} - 4 x - 2) + (x + 3) (x + 2)

\frac{4}{5} + \frac{3}{2}

96 \cdot 3

19 \cdot 9