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(1-0.9^x)=3x/40
We move all terms to the left:
(1-0.9^x)-(3x/40)=0
We add all the numbers together, and all the variables
(1-0.9^x)-(+3x/40)=0
We get rid of parentheses
-0.9^x-3x/40+1=0
We multiply all the terms by the denominator
-(0.9^x)*40-3x+1*40=0
We add all the numbers together, and all the variables
-3x-(0.9^x)*40+40=0
We multiply parentheses
-3x-0x+40=0
We add all the numbers together, and all the variables
-4x+40=0
We move all terms containing x to the left, all other terms to the right
-4x=-40
x=-40/-4
x=+10
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