What is 3(7/5 x+4)-2(3/2-5/4 x) ?

The solution to 3(7/5 x+4)-2(3/2-5/4 x) is (67x)/(10)+9

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simplify 3(7/5 x+4)-2(3/2-5/4 x)

simplify

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

\frac{67 x}{10} + 9

Solution steps

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

Simplify

\frac{5}{4} x : \frac{5 x}{4}

= 3 (\frac{7}{5} x + 4) - 2 (\frac{3}{2} - \frac{5 x}{4})

Expand

3 (\frac{7}{5} x + 4) : \frac{21 x}{5} + 12

= \frac{21 x}{5} + 12 - 2 (\frac{3}{2} - \frac{5 x}{4})

Expand

- 2 (\frac{3}{2} - \frac{5 x}{4}) : - 3 + \frac{5 x}{2}

= \frac{21 x}{5} + 12 - 3 + \frac{5 x}{2}

Join

\frac{21 x}{5} + 12 - 3 + \frac{5 x}{2} : \frac{67 x}{10} + 9

= \frac{67 x}{10} + 9

(x + 2) (x + 8)

(x + 2) (x + 9)

10 - 5 (9 n - 9)

2 tan (θ) (3 cos (θ))

(x - 1) (x + 1) (x - 2)

What is 3(7/5 x+4)-2(3/2-5/4 x) ?
The solution to 3(7/5 x+4)-2(3/2-5/4 x) is (67x)/(10)+9