What is the answer to (a-x)/a-(b-x)/b =(2(a-b))/(ab) ?

The answer to (a-x)/a-(b-x)/b =(2(a-b))/(ab) is x=2;\quad ab\ne 0,a\ne b

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(a-x)/a-(b-x)/b =(2(a-b))/(ab)

\frac{a - x}{a} - \frac{b - x}{b} = \frac{2 ( a - b )}{ab}

x = 2; ab \neq = 0, a \neq = b

Solution steps

\frac{a - x}{a} - \frac{b - x}{b} = \frac{2 ( a - b )}{ab}

Multiply by LCM

b (a - x) - a (b - x) = 2 (a - b); ab \neq = 0

Expand

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

Expand

2 (a - b) : 2 a - 2 b

a x - b x = 2 a - 2 b; ab \neq = 0

Factor

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

x (a - b) = 2 a - 2 b; ab \neq = 0

Divide both sides by

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

x = 2; ab \neq = 0, a \neq = b

3 + 2.7 x = 9.6 + 3.2 x

x, y + 2 = - 5 x

m + 4 = 12

\frac{5}{3} - 2 d = \frac{5}{6} d - d + 3

5 x - 2 = 3 x + 4

What is the answer to (a-x)/a-(b-x)/b =(2(a-b))/(ab) ?
The answer to (a-x)/a-(b-x)/b =(2(a-b))/(ab) is x=2;\quad ab\ne 0,a\ne b