How do you solve $| 4 x - 6 | - 7 = - 12$ $| 4x - 6 | -7 = -12$ ?

Question

1952 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-17T07:54:04

$\frac{1}{4}$ $1/4$

$(4 x - 6) - 7 = - 12$ $(4x-6)-7=-12$
$4 x - 6 = - 12 + 7$ $4x-6=-12+7$
$4 x = - 5 + 6$ $4x=-5+6$
$4 x = 1$ $4x=1$
$x = \frac{1}{4}$ $x=1/4$

Answer 2 · 2017-04-17T10:03:16

$x = \frac{1}{4}$ $color(green)(x=1/4$ or $x = 2 \frac{3}{4}$ $color(green)(x=2 3/4$

$| 4 x - 6 | - 7 = - 12$ $|4x-6|-7=-12$

$:.|4x-6|=-12+7$

$:.|4x-6|=-5$ or $|4x-6|=5$

$:.4x=6-5$ or $4x=5+6$

$:.4x=1$ or $4x=11$

$:.x=1/4$ or $x=11/4$

$:.color(green)(x=1/4$ or $color(green)(x=2 3/4$

How do you solve | 4x - 6 | -7 = -12|4x−6|−7=−12| 4x - 6 | -7 = -12?