2
x
+
1
+
2
x
+
3
=
20
2
x
−
5
2
⋅
2
x
+
2
3
⋅
2
x
=
20
⋅
2
x
−
5
2
2
⋅
2
x
+
8
⋅
2
x
=
20
⋅
2
x
2
⋅
2
−
5
2
(
2
+
8
)
⋅
2
x
=
20
⋅
2
x
2
⋅
2
−
5
2
10
⋅
2
x
=
20
⋅
2
x
2
⋅
2
−
5
2
2
x
⋅
2
−
x
2
=
2
⋅
2
−
5
2
2
x
−
x
2
=
2
1
−
5
2
2
x
2
=
2
1
−
5
2
2
x
2
=
2
−
3
2
x
2
=
−
3
2
x
=
−
3
2^{ x+1 }+ 2^{ x+3 }= 20 sqrt{ 2^{x-5 }} newline
2 cdot 2^{ x }+ 2^3 cdot 2^{ x }= 20 cdot 2^{{x-5 } over 2} newline
2 cdot 2^{ x }+ 8 cdot 2^{ x }= 20 cdot 2^{{x } over 2} cdot 2^-{{5 } over 2} newline
(2 +8) cdot 2^{ x } = 20 cdot 2^{{x } over 2} cdot 2^-{{5 } over 2} newline
10 cdot 2^{ x } = 20 cdot 2^{{x } over 2} cdot 2^-{{5 } over 2} newline
2^{ x } cdot 2^-{{x } over 2}= 2 cdot 2^-{{5 } over 2} newline
2^{ x - x over 2} = 2^{1-{{5 } over 2}} newline
2^{ x over 2} = 2^{1-{{5 } over 2}} newline
2^{ x over 2} = 2^{-{{3 } over 2}} newline
x over 2= -{{3 } over 2}newline
x = -3