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x-5/5=1-x-6/7
We move all terms to the left:
x-5/5-(1-x-6/7)=0
We add all the numbers together, and all the variables
x-(-1x-6/7+1)-5/5=0
We add all the numbers together, and all the variables
x-(-1x-6/7+1)-1=0
We get rid of parentheses
x+1x-1-1+6/7=0
We multiply all the terms by the denominator
x*7+1x*7+6-1*7-1*7=0
We add all the numbers together, and all the variables
x*7+1x*7-8=0
Wy multiply elements
7x+7x-8=0
We add all the numbers together, and all the variables
14x-8=0
We move all terms containing x to the left, all other terms to the right
14x=8
x=8/14
x=4/7
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