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3/2x+7=-1/2x-19
We move all terms to the left:
3/2x+7-(-1/2x-19)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x-19)!=0We get rid of parentheses
x∈R
3/2x+1/2x+19+7=0
We multiply all the terms by the denominator
19*2x+7*2x+3+1=0
We add all the numbers together, and all the variables
19*2x+7*2x+4=0
Wy multiply elements
38x+14x+4=0
We add all the numbers together, and all the variables
52x+4=0
We move all terms containing x to the left, all other terms to the right
52x=-4
x=-4/52
x=-1/13
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