What is the answer to (2x-3)/2+(5x)/(x+1)=x ?

The answer to (2x-3)/2+(5x)/(x+1)=x is x= 3/7

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(2x-3)/2+(5x)/(x+1)=x

\frac{2 x - 3}{2} + \frac{5 x}{x + 1} = x

x = \frac{3}{7}

Decimal

x = 0.42857 \dots

Solution steps

\frac{2 x - 3}{2} + \frac{5 x}{x + 1} = x

Multiply by LCM

2 x^{2} + 9 x - 3 = 2 x^{2} + 2 x

Move

3

to the right side

2 x^{2} + 9 x = 2 x^{2} + 2 x + 3

Subtract

2 x^{2} + 2 x

from both sides

2 x^{2} + 9 x - (2 x^{2} + 2 x) = 2 x^{2} + 2 x + 3 - (2 x^{2} + 2 x)

Simplify

7 x = 3

Divide both sides by

7

x = \frac{3}{7}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = \frac{3}{7}

\frac{2}{x - 1} + \frac{4}{x + 5} = 7

\frac{1}{33} + \frac{1.5}{x} = \frac{0.5}{12}

x, \frac{w}{x} = \frac{y}{z}

\frac{x - 1}{x + 1} - \frac{3 + x}{x} = 2

- 1 = \frac{x ^{2} + 1}{x - 3}

What is the answer to (2x-3)/2+(5x)/(x+1)=x ?
The answer to (2x-3)/2+(5x)/(x+1)=x is x= 3/7
Solve for x: (2x-3)/2+(5x)/(x+1)=x
The solution is x= 3/7