Answer:
Explanation:
Statements:
Start with the original equation:
−
8
(
�
−
3
)
=
−
32
−8(x−3)=−32.
Distribute the -8 on the left side to get
−
8
�
+
24
=
−
32
−8x+24=−32.
Add 24 to both sides, simplifying the equation to
−
8
�
+
24
=
−
8
−8x+24=−8.
Divide both sides by -8 to isolate x:
−
8
�
+
24
−
8
=
−
8
−
8
−8
−8x+24
=
−8
−8
.
Reasons:
Distributing the -8 on the left side of the equation helps eliminate the parentheses and yields
−
8
�
+
24
=
−
32
−8x+24=−32.
Adding 24 to both sides allows us to move the constant term to the right side, resulting in
−
8
�
+
24
=
−
8
−8x+24=−8.
The addition of 24 to both sides simplifies the equation further, leaving us with
−
8
�
=
−
8
−8x=−8.
By dividing both sides by -8, we isolate x on the left side, yielding the solution:
�
=
7
x=7.