What is the answer to (x-3)/(x+7)= 2/5 ?

The answer to (x-3)/(x+7)= 2/5 is x= 29/3

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(x-3)/(x+7)= 2/5

\frac{x - 3}{x + 7} = \frac{2}{5}

x = \frac{29}{3}

Decimal Notation

x = 9.66666 \dots

Solution steps

\frac{x - 3}{x + 7} = \frac{2}{5}

Cross multiply

5 x - 15 = 2 x + 14

Move

15

to the right side

5 x = 2 x + 29

Move

2 x

to the left side

3 x = 29

Divide both sides by

3

x = \frac{29}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 7

Combine undefined points with solutions:

x = \frac{29}{3}

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

\frac{1}{x - 1} - \frac{3}{x - 4} = 0

\frac{- 7}{x + 4} = \frac{3}{x - 5}

x, y = \frac{1}{x + 1}

2 x - \frac{6}{x} = \frac{3 + x}{4} - 6

What is the answer to (x-3)/(x+7)= 2/5 ?
The answer to (x-3)/(x+7)= 2/5 is x= 29/3
Solve for x: (x-3)/(x+7)= 2/5
The solution is x= 29/3