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

The solution to 5x+7-(2x)/(x-5) is (5x^2-20x-35)/(x-5)

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

simplify

5 x + 7 - \frac{2 x}{x - 5}

\frac{5 x ^{2} - 20 x - 35}{x - 5}

Solution steps

5 x + 7 - \frac{2 x}{x - 5}

Convert

5 x

to fraction

: \frac{5 x ( x - 5 )}{x - 5}

Convert

7

to fraction

: \frac{7 ( x - 5 )}{x - 5}

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

Apply the fraction rule:

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

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

Simplify

5 x (x - 5) + 7 (x - 5) - 2 x : 5 x^{2} - 20 x - 35

= \frac{5 x ^{2} - 20 x - 35}{x - 5}

- lo g_{10} (10)

\frac{1}{25} + \frac{25 x ^{4}}{36} - \frac{x ^{2}}{3}

1 0^{l o g_{10} (4)}

(x + 1) (x)

(3 v^{2} - 7 v - 10) (v - 4)^{- 1}

What is 5x+7-(2x)/(x-5) ?
The solution to 5x+7-(2x)/(x-5) is (5x^2-20x-35)/(x-5)