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

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

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

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

x = 5

Solution steps

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

Cross multiply

1 - x^{2} = - x - x^{2} + 6

Move

1

to the right side

- x^{2} = - x^{2} - x + 5

Subtract

- x^{2} - x

from both sides

- x^{2} - (- x^{2} - x) = - x^{2} - x + 5 - (- x^{2} - x)

Simplify

x = 5

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = - 1

Combine undefined points with solutions:

x = 5

\frac{y}{3} = \frac{y + 8}{y + 5}

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

\frac{8 x}{x + 1} - 5 = \frac{8}{x ^{2} + x}

x + 7 = - \frac{12}{x}

y, y^{2} = \frac{x ^{2} - 49}{x ^{2} + 49}

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