How to solve a linear equation?

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A linear equation is an equation of the form

$ax + b = 0 \ \ \ \ \ (1)$

where

$a,b \in \mathbb{R}\$ and $a \ne 0\$ .

Let us assume that we are trying to solve this equation for real numbers only i.e. we are trying to find the real root(s) of the equation.

Solving this equation is simple, it always has a single real solution which is $x = - {b \over a} \ \ \ \ \ (2)$

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