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3/4x-8=1/4x+9
We move all terms to the left:
3/4x-8-(1/4x+9)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: 4x+9)!=0We get rid of parentheses
x∈R
3/4x-1/4x-9-8=0
We multiply all the terms by the denominator
-9*4x-8*4x+3-1=0
We add all the numbers together, and all the variables
-9*4x-8*4x+2=0
Wy multiply elements
-36x-32x+2=0
We add all the numbers together, and all the variables
-68x+2=0
We move all terms containing x to the left, all other terms to the right
-68x=-2
x=-2/-68
x=1/34
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