31/2x+1=-1/2x-7

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Solution for 31/2x+1=-1/2x-7 equation: 



31/2x+1=-1/2x-7

We move all terms to the left:

31/2x+1-(-1/2x-7)=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





Domain of the equation: 2x-7)!=0

x∈R



We get rid of parentheses

31/2x+1/2x+7+1=0

We multiply all the terms by the denominator


7*2x+1*2x+31+1=0

We add all the numbers together, and all the variables

7*2x+1*2x+32=0

Wy multiply elements

14x+2x+32=0

We add all the numbers together, and all the variables

16x+32=0

We move all terms containing x to the left, all other terms to the right

16x=-32

x=-32/16

x=-2

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