∣
2
x
−
3
∣
=
7
|2x-3|=7
∣2
x
−
3∣
=
7
If
a
a
a
and
b
b
b
are solutions to the equation above, what is the value of
∣
a
−
b
∣
|a-b|
∣
a
−
b
∣
?
−
2
-2
−
2
3
3
3
5
5
5
7
7
7
Summary
Submit
Approach
∣
2
x
−
3
∣
=
7
|2x-3|=7
∣2
x
−
3∣
=
7
2
x
−
3
=
7
2x-3=7
2
x
−
3
=
7
2
x
=
10
2x=10
2
x
=
10
x
=
5
x=5
x
=
5
2
x
−
3
=
−
7
2x-3=-7
2
x
−
3
=
−
7
2
x
=
−
4
2x=-4
2
x
=
−
4
x
=
−
2
x=-2
x
=
−
2
∣
a
−
b
∣
|a-b|
∣
a
−
b
∣
=
∣
5
−
(
−
2
)
∣
= |5-(-2) |
=
∣5
−
(
−
2
)
∣
=
∣
7
∣
= |7|
=
∣7∣
=
7
= \boxed{7}
=
7