What is the answer to (x+6)/(x-4)=2 ?

The answer to (x+6)/(x-4)=2 is x=14

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(x+6)/(x-4)=2

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

x = 14

Solution steps

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

Multiply both sides by

x - 4

x + 6 = 2 (x - 4)

Expand

2 (x - 4) : 2 x - 8

x + 6 = 2 x - 8

Move

6

to the right side

x = 2 x - 14

Move

2 x

to the left side

- x = - 14

Divide both sides by

- 1

x = 14

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = 14

\frac{15 - x}{x} = \frac{1}{2}

t, a = \frac{V f - V o}{t}

k, m = \frac{1}{k} + n

\frac{2}{3} = \frac{x - 5}{58 - x}

t, s = 2 \frac{d}{t}