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# Find value of x in $4x + 3 = 2x - 5$ ?

Last updated date: 13th Jun 2024
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Hint: The value of x in $4x + 3 = 2x - 5$ can be found by using the method of transposition. Method of transposition involves doing the exact same mathematical thing on both sides of an equation with the aim of simplification in mind. This method can be used to solve various algebraic equations like the one given in question with ease.

We would use the method of transposition to find the value of x in $4x + 3 = 2x - 5$. Method of transposition involves doing the exact same thing on both sides of an equation with the aim of bringing like terms together and isolating the variable or the unknown term in order to simplify the equation and finding value of the required parameter.
So, $4x + 3 = 2x - 5$
$\Rightarrow 4x - 2x = - 5 - 3$
$\Rightarrow 2x = - 8$
$\Rightarrow \dfrac{{2x}}{2} = \dfrac{{ - 8}}{2}$
$\Rightarrow x = - 4$
Hence, the value of x in $4x + 3 = 2x - 5$ is $\left( { - 4} \right)$.