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3/2x-4=7-1/2x
We move all terms to the left:
3/2x-4-(7-1/2x)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
3/2x-(-1/2x+7)-4=0
We get rid of parentheses
3/2x+1/2x-7-4=0
We multiply all the terms by the denominator
-7*2x-4*2x+3+1=0
We add all the numbers together, and all the variables
-7*2x-4*2x+4=0
Wy multiply elements
-14x-8x+4=0
We add all the numbers together, and all the variables
-22x+4=0
We move all terms containing x to the left, all other terms to the right
-22x=-4
x=-4/-22
x=2/11
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