(i) Convert into an equation and find the value of $x$ . “ $x$ exceeds $17$ gives $- 12$ ”
(ii) Convert into an equation and find the value of $x :$ “ $5$ less than three times $x$ is $- 50$ .”

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Solution

(i) As $x$ exceeds $17$ by $- 12$ means
$x - 17 = - 12$
Now, we need to solve the equation
$\Rightarrow x = - 12 + 17$
$\Rightarrow x = 5$
(ii) $5$ less than three times $x$ is $- 50$ .
$3 x - 5 = - 50$
Now, we need to solve the equation
$\Rightarrow 3 x = - 50 + 5$
$\Rightarrow 3 x = - 45$
$\Rightarrow x = - 45 \div 3 = - 15$

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