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4x+1/4=5x+5/4
We move all terms to the left:
4x+1/4-(5x+5/4)=0
We add all the numbers together, and all the variables
4x-(+5x+5/4)+1/4=0
We get rid of parentheses
4x-5x-5/4+1/4=0
We multiply all the terms by the denominator
4x*4-5x*4-5+1=0
We add all the numbers together, and all the variables
4x*4-5x*4-4=0
Wy multiply elements
16x-20x-4=0
We add all the numbers together, and all the variables
-4x-4=0
We move all terms containing x to the left, all other terms to the right
-4x=4
x=4/-4
x=-1
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