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1.5x-10+3/2x=x+1
We move all terms to the left:
1.5x-10+3/2x-(x+1)=0
Domain of the equation: 2x!=0We get rid of parentheses
x!=0/2
x!=0
x∈R
1.5x+3/2x-x-1-10=0
We multiply all the terms by the denominator
(1.5x)*2x-x*2x-1*2x-10*2x+3=0
We add all the numbers together, and all the variables
(+1.5x)*2x-x*2x-1*2x-10*2x+3=0
We multiply parentheses
2x^2-x*2x-1*2x-10*2x+3=0
Wy multiply elements
2x^2-2x^2-2x-20x+3=0
We add all the numbers together, and all the variables
-22x+3=0
We move all terms containing x to the left, all other terms to the right
-22x=-3
x=-3/-22
x=3/22
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