2^x+2-4*5^x+2=25*5^x-4*2^x

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Solution for 2^x+2-4*5^x+2=25*5^x-4*2^x equation:



2^x+2-4*5^x+2=25*5^x-4*2^x
We move all terms to the left:
2^x+2-4*5^x+2-(25*5^x-4*2^x)=0
We add all the numbers together, and all the variables
2^x-4*5^x-(25*5^x-4*2^x)+4=0
Wy multiply elements
2^x-20x-(25*5^x-4*2^x)+4=0
We get rid of parentheses
2^x-20x-25*5^x+4*2^x+4=0
We add all the numbers together, and all the variables
-20x+2^x-25*5^x+4*2^x+4=0
Wy multiply elements
-20x+2^x-125x+8x+4=0
We add all the numbers together, and all the variables
-137x+2^x+4=0
We move all terms containing x to the left, all other terms to the right
-137x+2^x=-4

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