Question

solve a/x-a+b/x-b=2c/x-c​

Answer 1

Step-by-step explanation:

$\frac{a}{x} - a + \frac{b}{x} - b = 2 \frac{c}{x} - c$

$\frac{a - ax}{x} + \frac{b - bx}{x} = \frac{c - cx}{x}$

$a - ax + b - bx = c - cx$

$a(1 - x) + b(1 - x) = c(1 - x)$

$(a + b)(1 - x) = c(1 - x)$

$let \: \: c = a + b$

$c(1 - x) = c(1 - x)$

$lhs = rhs$

$hence \: \: proved$

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