How do you solve $abs(11-4x)=7$ ?

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Answer 1 · 2016-09-22T14:17:10

$x=1" and "x=9/2$

This is the same as $|+-7|=+7$

So $11-4x=+-7$

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$color(blue)("Consider the case "11-4x=-7"$

$4x=18 => x=18/4 ->color(blue)(x= 9/2)$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$color(blue)("Consider the case "11-4x=+7"$

$4x=4 => x=4/4 ->color(blue)(x=1)$

How do you solve abs(11-4x)=7abs(11-4x)=7?