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1/2x-33=17/2x-37
We move all terms to the left:
1/2x-33-(17/2x-37)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x-37)!=0We get rid of parentheses
x∈R
1/2x-17/2x+37-33=0
We multiply all the terms by the denominator
37*2x-33*2x+1-17=0
We add all the numbers together, and all the variables
37*2x-33*2x-16=0
Wy multiply elements
74x-66x-16=0
We add all the numbers together, and all the variables
8x-16=0
We move all terms containing x to the left, all other terms to the right
8x=16
x=16/8
x=2
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