Question

How do you solve $2x + 5 = 0$?

Answer 1

Hint:In order to determine the value of variable$x$ in the above equation use the rules of transposing terms to transpose terms having $(x)$on the Left-hand side and constant value terms on the Right-Hand side of the equation. Solving like terms and dividing both sides of the equation with the coefficient of $x$will lead to your required result.

Complete step by step solution:
We are given a linear equation in one variable $2x + 5 = 0$.and we have to solve this equation for variable ($x$).
$ \Rightarrow 2x + 5 = 0$

Now combining like terms on both of the sides. Terms having $x$will on the Left-Hand side of the equation and constant terms on the right-hand side .

Let’s recall one basic property of transposing terms that on transposing any term from one side to another the sign of that term get reversed .In our case,$ + 5$in left hand side will become $ - 5$on Right hand side

After transposing terms our equation becomes
$
\Rightarrow 2x + 5 = 0 \\
\Rightarrow 2x = - 5 \\
$

Now dividing both sides of the equation by the coefficient of $x$i.e. 2
\[
\Rightarrow \dfrac{{2x}}{2} = \dfrac{{ - 5}}{2} \\
\Rightarrow x = \dfrac{{ - 5}}{2} \\
\]
Therefore, the solution to the equation $2x + 5 = 0$is equal to \[x = \dfrac{{ - 5}}{2}\].

Note:Linear Equation: A linear equation is a equation which can be represented in the form of $ax + c$ where $x$is the unknown variable and a,c are the numbers known where $a \ne 0$.If $a = 0$ then the equation will become a constant value and will no more be a linear equation .