What is the answer to (x-2)/(2x+4)= 1/5 ?

The answer to (x-2)/(2x+4)= 1/5 is x= 14/3

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(x-2)/(2x+4)= 1/5

\frac{x - 2}{2 x + 4} = \frac{1}{5}

x = \frac{14}{3}

Decimal Notation

x = 4.66666 \dots

Solution steps

\frac{x - 2}{2 x + 4} = \frac{1}{5}

Cross multiply

5 x - 10 = 2 x + 4

Move

10

to the right side

5 x = 2 x + 14

Move

2 x

to the left side

3 x = 14

Divide both sides by

3

x = \frac{14}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = \frac{14}{3}

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

\frac{x}{x - 5} = \frac{2 x - 4}{2 x}

x, d = \frac{t}{x}

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

\frac{4}{x - 3} + \frac{2}{x} = 1

What is the answer to (x-2)/(2x+4)= 1/5 ?
The answer to (x-2)/(2x+4)= 1/5 is x= 14/3
Solve for x: (x-2)/(2x+4)= 1/5
The solution is x= 14/3