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1/2x+2-2/3x=1.5x-6
We move all terms to the left:
1/2x+2-2/3x-(1.5x-6)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 3x!=0We get rid of parentheses
x!=0/3
x!=0
x∈R
1/2x-2/3x-1.5x+6+2=0
We calculate fractions
-1.5x+3x/6x^2+(-4x)/6x^2+6+2=0
We add all the numbers together, and all the variables
-1.5x+3x/6x^2+(-4x)/6x^2+8=0
We multiply all the terms by the denominator
-(1.5x)*6x^2+3x+(-4x)+8*6x^2=0
We add all the numbers together, and all the variables
-(+1.5x)*6x^2+3x+(-4x)+8*6x^2=0
We add all the numbers together, and all the variables
3x-(+1.5x)*6x^2+(-4x)+8*6x^2=0
Wy multiply elements
48x^2+3x-(+1.5x)*6x^2+(-4x)=0
We get rid of parentheses
48x^2+3x-(+1.5x)*6x^2-4x=0
We add all the numbers together, and all the variables
48x^2-1x-(+1.5x)*6x^2=0
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