Find the value of $x$ in $k x + a = m x + b$ .

\frac{b - a}{k - m}

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\frac{a - b}{k - m}

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\frac{k - m}{a - b}

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\frac{m - k}{a - b}

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Solution

The correct option is A $\frac{b - a}{k - m}$
Given equation is: $k x + a = m x + b$
$\Rightarrow$ $k x - m x = b - a$
[mx is transposed as –mx, a is transposed as –a]
$\Rightarrow$ $x (k - m) = b - a$
$\Rightarrow x = \frac{b - a}{k - m}$

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