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(1-0.8^x)=2x/40
We move all terms to the left:
(1-0.8^x)-(2x/40)=0
We add all the numbers together, and all the variables
(1-0.8^x)-(+2x/40)=0
We get rid of parentheses
-0.8^x-2x/40+1=0
We multiply all the terms by the denominator
-(0.8^x)*40-2x+1*40=0
We add all the numbers together, and all the variables
-2x-(0.8^x)*40+40=0
We multiply parentheses
-2x-0x+40=0
We add all the numbers together, and all the variables
-3x+40=0
We move all terms containing x to the left, all other terms to the right
-3x=-40
x=-40/-3
x=13+1/3
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