How do you solve $abs(7x + 2)= 10$ ?

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Answer 1 · 2015-04-02T03:42:08

$x = 8/7 ; x = -12/7$

Absolute value is the distance of a given number from $0$ . This means in the problem, $7x+2 = 10$ or $7x+2=-10$

Solving both of the equations:
$7x + 2 =10$
$7x = 8$
$x = 8/7$

$7x+2 = -10$
$7x=-12$
$x=-12/7$

How do you solve abs(7x + 2)= 10abs(7x + 2)= 10?