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# How do you solve for x in $4.2(3.1 + 6.4x) = 17.5x \pm 2.3$ ?

Last updated date: 23rd Jul 2024
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Hint:In this question, we are given an expression containing one unknown variable quantity (x) so it is known as an algebraic expression. We know that we need an “n” number of equations to find the value of “n” unknown variables. 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 $4.2(3.1 + 6.4x) = 17.5x \pm 2.3$
$13.02 + 26.88x = 17.5x \pm 2.3$
$13.02 + 26.88x = 17.5x + 2.3$ and $13.02 + 26.88x = 17.5x - 2.3$
$26.88x - 17.5x = 2.3 - 13.02$ and $26.88x - 17.5x = - 2.3 - 13.02$
$\Rightarrow 9.38x = - 10.72$ and $9.38x = - 15.32$
$\Rightarrow x \approx - 1.143$ and $x \approx - 1.633$
Hence, when $4.2(3.1 + 6.4x) = 17.5x \pm 2.3$ , we get $x = - 1.143$ and $x = - 1.633$