Question

3Ix+5I=7 I= absoulute value symbol

Answer 1

Answer:

$x = -\dfrac{8}3~~~~\text{or}~~~x = -\dfrac {22}3$

Step by step explanation:

$~~~~~3|x+5|=7\\\\\implies |x+5| = \dfrac 73\\\\\implies x +5=\dfrac 73~~~\text{or}~~~x+5 = -\dfrac 73\\\\\implies x = \dfrac 73 -5~~~\text{or}~~~ x = -\dfrac 73 - 5\\\\\implies x = -\dfrac{8}3~~~~~~\text{or}~~~x = -\dfrac {22}3$