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1/4x+8=3/4x+2
We move all terms to the left:
1/4x+8-(3/4x+2)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: 4x+2)!=0We get rid of parentheses
x∈R
1/4x-3/4x-2+8=0
We multiply all the terms by the denominator
-2*4x+8*4x+1-3=0
We add all the numbers together, and all the variables
-2*4x+8*4x-2=0
Wy multiply elements
-8x+32x-2=0
We add all the numbers together, and all the variables
24x-2=0
We move all terms containing x to the left, all other terms to the right
24x=2
x=2/24
x=1/12
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