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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