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

The answer to (2x)/(x+2)=(3x)/(x+5)-1 is x=-10/11

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

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

x = - \frac{10}{11}

Decimal

x = - 0.90909 \dots

Solution steps

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

Multiply by LCM

2 x^{2} + 10 x = 2 x^{2} - x - 10

Subtract

2 x^{2} - x

from both sides

2 x^{2} + 10 x - (2 x^{2} - x) = 2 x^{2} - x - 10 - (2 x^{2} - x)

Simplify

11 x = - 10

Divide both sides by

11

x = - \frac{10}{11}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = - 5

Combine undefined points with solutions:

x = - \frac{10}{11}

y, \frac{2}{x} - \frac{1}{y} = 4

- \frac{2}{x ^{2}} + \frac{1}{x} + 3 = 0

1 + \frac{x}{x - 9} = \frac{3}{x - 9}

\frac{1}{2 x} = \frac{( r - x )}{7}

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

What is the answer to (2x)/(x+2)=(3x)/(x+5)-1 ?
The answer to (2x)/(x+2)=(3x)/(x+5)-1 is x=-10/11
Solve for x: (2x)/(x+2)=(3x)/(x+5)-1
The solution is x=-10/11