What is the answer to solvefor x,a=((2x+f))/((x-2f)) ?

The answer to solvefor x,a=((2x+f))/((x-2f)) is x=(f+2af)/(a-2);\quad a\ne 2

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solvefor x,a=((2x+f))/((x-2f))

solve for

x, a = \frac{( 2 x + f )}{( x - 2 f )}

x = \frac{f + 2 a f}{a - 2}; a \neq = 2

Solution steps

a = \frac{( 2 x + f )}{( x - 2 f )}

Simplify

\frac{( 2 x + f )}{( x - 2 f )} : \frac{2 x + f}{x - 2 f}

a = \frac{2 x + f}{x - 2 f}

Multiply both sides by

x - 2 f

a (x - 2 f) = 2 x + f

Expand

a (x - 2 f) : a x - 2 a f

a x - 2 a f = 2 x + f

Move

2 a f

to the right side

a x = 2 x + f + 2 a f

Move

2 x

to the left side

a x - 2 x = f + 2 a f

Factor

a x - 2 x : x (a - 2)

x (a - 2) = f + 2 a f

Divide both sides by

a - 2; a \neq = 2

x = \frac{f + 2 a f}{a - 2}; a \neq = 2

n = \frac{18 - 15}{( 8 - 5 ) \cdot x ^{3} + 7}

x, m = \frac{( y ^{2} - y ^{1} )}{( x ^{2} - x ^{1} )}

x, \frac{4}{x} + \frac{5}{y} = 4

\frac{- 3}{4 x + 6} = \frac{55}{16}

\frac{( 1 + x )}{( 1 - x )} = 3

What is the answer to solvefor x,a=((2x+f))/((x-2f)) ?
The answer to solvefor x,a=((2x+f))/((x-2f)) is x=(f+2af)/(a-2);\quad a\ne 2