How do you solve a multi step algebraic equation, that includes a absolute value $abs( 3x - 1)= 13$ ?

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Answer 1 · 2018-07-09T23:35:13

$x=14/3$ and $x=-4$

We can rewrite our equation without the absolute value signs like the following:

$3x-1=13$ and $3x-1=-13$

We create two equations with a positive and negative solution. To both, let's add $1$ to both sides to get

$3x=14$ and $3x=-12$

Divide both sides of both equations by $3$ , and we get

$x=14/3$ and $x=-4$

Hope this helps!

How do you solve a multi step algebraic equation, that includes a absolute value abs( 3x - 1)= 13abs( 3x - 1)= 13?