What is the answer to (x-3)/(x+4)=100 ?

The answer to (x-3)/(x+4)=100 is x=-403/99

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(x-3)/(x+4)=100

\frac{x - 3}{x + 4} = 100

x = - \frac{403}{99}

Decimal Notation

x = - 4.07070 \dots

Solution steps

\frac{x - 3}{x + 4} = 100

Multiply both sides by

x + 4

x - 3 = 100 (x + 4)

Expand

100 (x + 4) : 100 x + 400

x - 3 = 100 x + 400

Move

3

to the right side

x = 100 x + 403

Move

100 x

to the left side

- 99 x = 403

Divide both sides by

- 99

x = - \frac{403}{99}

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - \frac{403}{99}

\frac{1}{x + 3} + 4 = \frac{17}{x + 3}

\frac{2}{4} = \frac{6}{x}

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

16 = \frac{x + 8}{x - 8}

x + 16 = \frac{1}{x - 8}

What is the answer to (x-3)/(x+4)=100 ?
The answer to (x-3)/(x+4)=100 is x=-403/99
Solve for x: (x-3)/(x+4)=100
The solution is x=-403/99