What is the answer to (x+4)/(x-2)= 3/7 ?

The answer to (x+4)/(x-2)= 3/7 is x=-17/2

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(x+4)/(x-2)= 3/7

\frac{x + 4}{x - 2} = \frac{3}{7}

x = - \frac{17}{2}

Decimal Notation

x = - 8.5

Solution steps

\frac{x + 4}{x - 2} = \frac{3}{7}

Cross multiply

7 x + 28 = 3 x - 6

Move

28

to the right side

7 x = 3 x - 34

Move

3 x

to the left side

4 x = - 34

Divide both sides by

4

x = - \frac{17}{2}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = - \frac{17}{2}

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

b, a = \frac{a}{b} + c

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

\frac{3 - x}{4 - x} = \frac{8}{7}

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

What is the answer to (x+4)/(x-2)= 3/7 ?
The answer to (x+4)/(x-2)= 3/7 is x=-17/2
Solve for x: (x+4)/(x-2)= 3/7
The solution is x=-17/2