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5/2x+4=3/2x-3
We move all terms to the left:
5/2x+4-(3/2x-3)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x-3)!=0We get rid of parentheses
x∈R
5/2x-3/2x+3+4=0
We multiply all the terms by the denominator
3*2x+4*2x+5-3=0
We add all the numbers together, and all the variables
3*2x+4*2x+2=0
Wy multiply elements
6x+8x+2=0
We add all the numbers together, and all the variables
14x+2=0
We move all terms containing x to the left, all other terms to the right
14x=-2
x=-2/14
x=-1/7
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