4x-5/5=-x+8

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



4x-5/5=-x+8

We move all terms to the left:

4x-5/5-(-x+8)=0

We add all the numbers together, and all the variables

4x-(-1x+8)-5/5=0

We add all the numbers together, and all the variables

4x-(-1x+8)-1=0

We get rid of parentheses

4x+1x-8-1=0

We add all the numbers together, and all the variables

5x-9=0

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

5x=9

x=9/5

x=1+4/5

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