What is the answer to 1/x =c-1/a ?

The answer to 1/x =c-1/a is x= a/(ca-1);\quad a\ne 0,c\ne 1/a

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1/x =c-1/a

\frac{1}{x} = c - \frac{1}{a}

x = \frac{a}{c a - 1}; a \neq = 0, c \neq = \frac{1}{a}

Solution steps

\frac{1}{x} = c - \frac{1}{a}

Multiply both sides by

x

1 = c x - \frac{x}{a}

Switch sides

c x - \frac{x}{a} = 1

Multiply both sides by

a

c x a - x = a; a \neq = 0

Factor

c x a - x : x (c a - 1)

x (c a - 1) = a; a \neq = 0

Divide both sides by

c a - 1; a \neq = 0, c \neq = \frac{1}{a}

x = \frac{a}{c a - 1}; a \neq = 0, c \neq = \frac{1}{a}

y, x = \frac{19}{y}

324 = 16 x + 64 + \frac{64}{x}

\frac{6 x + 19}{2 x} = x + \frac{2}{5}

\frac{1}{p} = \frac{2}{4}

g = \frac{x - c}{x}, x

What is the answer to 1/x =c-1/a ?
The answer to 1/x =c-1/a is x= a/(ca-1);\quad a\ne 0,c\ne 1/a