What is (1/3 x-8/3)*(2.5+((-7))/5)*x ?

The solution to (1/3 x-8/3)*(2.5+((-7))/5)*x is (11x(x-8))/(30)

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simplify (1/3 x-8/3)(2.5+((-7))/5)x

simplify

(\frac{1}{3} x - \frac{8}{3}) \cdot (2.5 + \frac{( - 7 )}{5}) \cdot x

\frac{11 x ( x - 8 )}{30}

Solution steps

(\frac{1}{3} x - \frac{8}{3}) (2.5 + \frac{- 7}{5}) x

Simplify

\frac{1}{3} x : \frac{x}{3}

= (\frac{x}{3} - \frac{8}{3}) (2.5 + \frac{- 7}{5}) x

2.5 + \frac{- 7}{5} = \frac{11}{10}

= (\frac{x}{3} - \frac{8}{3}) \frac{11}{10} x

Apply the fraction rule:

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

= \frac{( \frac{x}{3} - \frac{8}{3} ) \cdot 11 x}{10}

Simplify

(\frac{x}{3} - \frac{8}{3}) \cdot 11 x : \frac{( x - 8 ) \cdot 11 x}{3}

= \frac{\frac{( x - 8 ) \cdot 11 x}{3}}{10}

Apply the fraction rule:

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

= \frac{( x - 8 ) \cdot 11 x}{3 \cdot 10}

Multiply the numbers:

3 \cdot 10 = 30

= \frac{( x - 8 ) \cdot 11 x}{30}

= \frac{11 ( x - 8 ) x}{30}

= \frac{11 x ( x - 8 )}{30}

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What is (1/3 x-8/3)*(2.5+((-7))/5)*x ?
The solution to (1/3 x-8/3)*(2.5+((-7))/5)*x is (11x(x-8))/(30)