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

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

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

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

x = 4, x = - 2

Solution steps

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

Cross multiply

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

Solve

(x + 4) (x - 2) = 4 x : x = 4, x = - 2

x = 4, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 4, x = - 2

18 x^{- 2} = 2

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

x, \frac{a x + b}{c x + d} = 4

\frac{1 + 1}{2 ( 4 X - 6 )} = - 2

\frac{x ^{2}}{x} = 0

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