Answer:
x=3/2
Step-by-step explanation:
Start with the given equation:
2
2
=
2
3
2x
2
=
3
2
Simplify
2
2
2x
2
to
1
x
1
:
1
=
2
3
x
1
=
3
2
Cross-multiply to solve for
x:
1
⋅
3
=
2
⋅
1⋅3=2⋅x
3
=
2
3=2x
Divide both sides by 2 to isolate
x:
=
3
2
x=
2
3
So, the value of
x is
3
2
2
3
.