What is 2/3 (3x+3/5)-6 2/5 ?

The solution to 2/3 (3x+3/5)-6 2/5 is 2x-6

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simplify 2/3 (3x+3/5)-6 2/5

simplify

\frac{2}{3} (3 x + \frac{3}{5}) - 6 \frac{2}{5}

2 x - 6

Solution steps

\frac{2}{3} (3 x + \frac{3}{5}) - 6 \frac{2}{5}

Convert mixed numbers to improper fractions:

6 \frac{2}{5} = \frac{32}{5}

= \frac{2}{3} (3 x + \frac{3}{5}) - \frac{32}{5}

Simplify

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

= \frac{2 ( 5 x + 1 )}{5} - \frac{32}{5}

Join

\frac{2 ( 5 x + 1 )}{5} - \frac{32}{5} : \frac{2 ( 5 x + 1 ) - 32}{5}

= \frac{2 ( 5 x + 1 ) - 32}{5}

Factor

2 (5 x + 1) - 32 : 10 (x - 3)

= \frac{10 ( x - 3 )}{5}

Divide the numbers:

\frac{10}{5} = 2

= 2 (x - 3)

Expand

2 (x - 3) : 2 x - 6

= 2 x - 6

\frac{x ^{2} + 11 x + 28}{x + 4}

\frac{2}{cos ( x )}

(\frac{1}{4} - \frac{3}{5} n) - n

\frac{2 \cdot 35.6 + \frac{1}{2} \cdot 2.5 \cdot 3. 5 ^{2}}{2.5}

2 x^{2} + 6 - 8 x