What is (5x)/(x-7)+(2x)/(4x-28) ?

The solution to (5x)/(x-7)+(2x)/(4x-28) is (11x)/(2(x-7))

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simplify (5x)/(x-7)+(2x)/(4x-28)

simplify

\frac{5 x}{x - 7} + \frac{2 x}{4 x - 28}

\frac{11 x}{2 ( x - 7 )}

Solution steps

\frac{5 x}{x - 7} + \frac{2 x}{4 x - 28}

Cancel

\frac{2 x}{4 x - 28} : \frac{x}{2 ( x - 7 )}

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

Least Common Multiplier of

x - 7, 2 (x - 7) : 2 (x - 7)

Adjust Fractions based on the LCM

= \frac{10 x}{2 ( x - 7 )} + \frac{x}{2 ( x - 7 )}

Apply the fraction rule:

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

= \frac{10 x + x}{2 ( x - 7 )}

Add similar elements:

10 x + x = 11 x

= \frac{11 x}{2 ( x - 7 )}

\frac{9}{x - 3} - \frac{3}{x}

2 \times + 2

\frac{3}{8} \div \frac{1}{48}

1.0 7^{10}

4 x^{3} - x^{3}

What is (5x)/(x-7)+(2x)/(4x-28) ?
The solution to (5x)/(x-7)+(2x)/(4x-28) is (11x)/(2(x-7))