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1/4x-12=5/4x+6
We move all terms to the left:
1/4x-12-(5/4x+6)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: 4x+6)!=0We get rid of parentheses
x∈R
1/4x-5/4x-6-12=0
We multiply all the terms by the denominator
-6*4x-12*4x+1-5=0
We add all the numbers together, and all the variables
-6*4x-12*4x-4=0
Wy multiply elements
-24x-48x-4=0
We add all the numbers together, and all the variables
-72x-4=0
We move all terms containing x to the left, all other terms to the right
-72x=4
x=4/-72
x=-1/18
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