What is the answer to x/(x-2)+x=(3x+15)/4 ?

The answer to x/(x-2)+x=(3x+15)/4 is x=3,x=10

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x/(x-2)+x=(3x+15)/4

\frac{x}{x - 2} + x = \frac{3 x + 15}{4}

x = 3, x = 10

Solution steps

\frac{x}{x - 2} + x = \frac{3 x + 15}{4}

Multiply by LCM

4 x + x \cdot 4 (x - 2) = (3 x + 15) (x - 2)

Solve

4 x + x \cdot 4 (x - 2) = (3 x + 15) (x - 2) : x = 3, x = 10

x = 3, x = 10

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 3, x = 10

\frac{8 x}{3 x + 5} + \frac{5 x - 1}{x + 1} = 3

a, \frac{1}{a} + \frac{1}{b} = \frac{1}{a + b}

M, t = \frac{b}{4 - M ^{3}}

- 4 x + \frac{4}{x} = 0

\frac{2 x + 3}{2} - \frac{3 x}{x - 4} = x

What is the answer to x/(x-2)+x=(3x+15)/4 ?
The answer to x/(x-2)+x=(3x+15)/4 is x=3,x=10
Solve for x: x/(x-2)+x=(3x+15)/4
The solution is x=3,x=10