1/2x+4=5/2x-8

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Solution for 1/2x+4=5/2x-8 equation:



1/2x+4=5/2x-8
We move all terms to the left:
1/2x+4-(5/2x-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-5/2x+8+4=0
We multiply all the terms by the denominator
8*2x+4*2x+1-5=0
We add all the numbers together, and all the variables
8*2x+4*2x-4=0
Wy multiply elements
16x+8x-4=0
We add all the numbers together, and all the variables
24x-4=0
We move all terms containing x to the left, all other terms to the right
24x=4
x=4/24
x=1/6

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