How do you solve the equation $abs(1-2x)=9$ ?

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Answer 1 · 2017-10-10T10:24:13

$x=5 " or "-4$

Rearranging equation, $abs(-2x+1)=9$

We know that either $−2x+1=9$ or $−2x+1=−9$

For the $color(blue)("negative")$ case:
$abs(-2x+1)=-(-2x+1)=9$

$=>+2x-1=9$

$=>+2x=9+1=10$

$=>x=10/2=5$

For the $color(red)("positive")$ case:
$abs(-2x+1)=(-2x+1)=9$

$=>-2x=9-1=8$

So, $x=5 " or "-4$