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1/2x-7=3/2x-13
We move all terms to the left:
1/2x-7-(3/2x-13)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x-13)!=0We get rid of parentheses
x∈R
1/2x-3/2x+13-7=0
We multiply all the terms by the denominator
13*2x-7*2x+1-3=0
We add all the numbers together, and all the variables
13*2x-7*2x-2=0
Wy multiply elements
26x-14x-2=0
We add all the numbers together, and all the variables
12x-2=0
We move all terms containing x to the left, all other terms to the right
12x=2
x=2/12
x=1/6
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