What is the answer to (x+a)/a-(x+b)/b =1 ?

The answer to (x+a)/a-(x+b)/b =1 is x=(ab)/(-a+b);\quad ab\ne 0,a\ne b

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(x+a)/a-(x+b)/b =1

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

x = \frac{ab}{- a + b}; ab \neq = 0, a \neq = b

Solution steps

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

Multiply by LCM

b (x + a) - a (x + b) = ab; ab \neq = 0

Expand

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

- a x + b x = ab; ab \neq = 0

Factor

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

x (- a + b) = ab; ab \neq = 0

Divide both sides by

- a + b; ab \neq = 0, a \neq = b

x = \frac{ab}{- a + b}; ab \neq = 0, a \neq = b

- 5 (x - 6) - (7 x + 2) = - 3 x + 20

5 + 3 (2 x - 6) = 5 + 6 x - 18

5 y - 3 y + 19 = 0

7 x = 2436

- 5 - 3 (6 x - 8) = - 5 x + 19

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