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1/2x+5=3/2x-61
We move all terms to the left:
1/2x+5-(3/2x-61)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x-61)!=0We get rid of parentheses
x∈R
1/2x-3/2x+61+5=0
We multiply all the terms by the denominator
61*2x+5*2x+1-3=0
We add all the numbers together, and all the variables
61*2x+5*2x-2=0
Wy multiply elements
122x+10x-2=0
We add all the numbers together, and all the variables
132x-2=0
We move all terms containing x to the left, all other terms to the right
132x=2
x=2/132
x=1/66
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