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

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



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

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