1/2x+2=-3/2x+8

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Solution for 1/2x+2=-3/2x+8 equation:



1/2x+2=-3/2x+8
We move all terms to the left:
1/2x+2-(-3/2x+8)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x+8)!=0
x∈R
We get rid of parentheses
1/2x+3/2x-8+2=0
We multiply all the terms by the denominator
-8*2x+2*2x+1+3=0
We add all the numbers together, and all the variables
-8*2x+2*2x+4=0
Wy multiply elements
-16x+4x+4=0
We add all the numbers together, and all the variables
-12x+4=0
We move all terms containing x to the left, all other terms to the right
-12x=-4
x=-4/-12
x=1/3

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