What is the answer to solvefor x, 1/x+1/a = 1/b ?

The answer to solvefor x, 1/x+1/a = 1/b is x=-(ab)/(b-a);\quad a\ne b

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Solve for x 1/x+1/a=1/b

solve for

x, \frac{1}{x} + \frac{1}{a} = \frac{1}{b}

x = - \frac{ab}{b - a}; a \neq = b

Solution steps

\frac{1}{x} + \frac{1}{a} = \frac{1}{b}

Multiply by LCM

ab + b x = a x

Move

ab

to the right side

b x = a x - ab

Move

a x

to the left side

b x - a x = - ab

Factor

b x - a x : x (b - a)

x (b - a) = - ab

Divide both sides by

b - a; a \neq = b

x = - \frac{ab}{b - a}; a \neq = b

83 \frac{1}{3} %

x, 5 x - 14 = 8 x + 4

\frac{( sec ( x ) )}{( csc ( x ) )}

7 x^{- 5}

(\frac{- 1}{2})^{20}

What is the answer to solvefor x, 1/x+1/a = 1/b ?
The answer to solvefor x, 1/x+1/a = 1/b is x=-(ab)/(b-a);\quad a\ne b