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x+6/4=x/4+6

We move all terms to the left:

x+6/4-(x/4+6)=0

We get rid of parentheses

x-x/4-6+6/4=0

We multiply all the terms by the denominator

x*4-x+6-6*4=0

We add all the numbers together, and all the variables

-1x+x*4-18=0

Wy multiply elements

-1x+4x-18=0

We add all the numbers together, and all the variables

3x-18=0

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

3x=18

x=18/3

x=6

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