1/2x+4=3/2x+2

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Solution for 1/2x+4=3/2x+2 equation:



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

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