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

The answer to 4=(x-5)/(2x-4) is x= 11/7

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

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

x = \frac{11}{7}

Decimal Notation

x = 1.57142 \dots

Solution steps

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

Multiply both sides by

2 x - 4

4 (2 x - 4) = x - 5

Expand

4 (2 x - 4) : 8 x - 16

8 x - 16 = x - 5

Move

16

to the right side

8 x = x + 11

Move

x

to the left side

7 x = 11

Divide both sides by

7

x = \frac{11}{7}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{11}{7}

E h = \frac{E}{m g}

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

\frac{5 x}{x + 1} = 9 - \frac{5}{x + 1}

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

2 q + 2 = q + 2 + \frac{25}{q}