What is the answer to (x+2)/(2x-6)= 3/8 ?

The answer to (x+2)/(2x-6)= 3/8 is x=-17

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(x+2)/(2x-6)= 3/8

\frac{x + 2}{2 x - 6} = \frac{3}{8}

x = - 17

Solution steps

\frac{x + 2}{2 x - 6} = \frac{3}{8}

Cross multiply

8 x + 16 = 6 x - 18

Move

16

to the right side

8 x = 6 x - 34

Move

6 x

to the left side

2 x = - 34

Divide both sides by

2

x = - 17

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = - 17

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

\frac{x - 8}{x + 2} = - \frac{3}{x}

4 + \frac{9}{x} = \frac{5}{2}

3 x - 6 - \frac{9}{x} = 0

\frac{9.1}{b} = \frac{9.6}{4.35}

What is the answer to (x+2)/(2x-6)= 3/8 ?
The answer to (x+2)/(2x-6)= 3/8 is x=-17
Solve for x: (x+2)/(2x-6)= 3/8
The solution is x=-17