2
x
+
2
x
+
1
=
3
⋅
2
3
−
x
2
x
+
2
⋅
2
x
=
3
⋅
2
3
⋅
2
−
x
(
1
+
2
)
⋅
2
x
=
3
⋅
2
3
⋅
2
−
x
3
⋅
2
x
=
3
⋅
2
3
⋅
2
−
x
2
x
=
2
3
⋅
2
−
x
2
x
⋅
2
x
=
2
3
2
2
x
=
2
3
2
x
=
3
x
=
3
2
2^x + 2^{ x+1 }= 3 cdot 2^{ 3-x } newline
2^x + 2 cdot 2^{ x}= 3 cdot 2^{ 3} cdot 2^{ -x } newline
( 1+2) cdot 2^x = 3 cdot 2^{ 3} cdot 2^{ -x } newline
3 cdot 2^x = 3 cdot 2^{ 3} cdot 2^{ -x } newline
2^x = 2^{ 3} cdot 2^{ -x } newline
2^x cdot 2^x = 2^{ 3} newline
2^{2x} = 2^3 newline
2x=3 newline
x= { 3}over 2