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# How do you solve for x in $5x + 3 > 2x - 9$ ?

Last updated date: 10th Aug 2024
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Hint:In this question, we are given that $5x + 3$ is greater than $2x - 9$ , it is an algebraic expression containing one unknown variable quantity (x). We know that we need an “n” number of equations to find the value of “n” unknown variables. In the given algebraic expression; we have exactly one equation and 1 unknown quantity, so we can easily find the value of x by rearranging the equation such that one side of the equation contains the terms containing x and all other terms lie on the other side. Then by applying the given arithmetic operations, we can find the value of x.

We are given that $5x + 3 > 2x - 9$
$5x - 2x > - 9 - 3 \\ \Rightarrow 3x > - 12 \\$
$x > \dfrac{{ - 12}}{3}$
$x > \dfrac{{ - 2 \times 2 \times 3}}{3}$
$\Rightarrow x > - 4$
Hence, when $5x + 3 > 2x - 9$ , we get $x > - 4$ .