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((2x-2)/5)-((3x-2)/4)=-2
We move all terms to the left:
((2x-2)/5)-((3x-2)/4)-(-2)=0
We add all the numbers together, and all the variables
((2x-2)/5)-((3x-2)/4)+2=0
We calculate fractions
(8x-8)/()+(-15x+10)/()+2=0
We multiply all the terms by the denominator
(8x-8)+(-15x+10)+2*()=0
We add all the numbers together, and all the variables
(8x-8)+(-15x+10)=0
We get rid of parentheses
8x-15x-8+10=0
We add all the numbers together, and all the variables
-7x+2=0
We move all terms containing x to the left, all other terms to the right
-7x=-2
x=-2/-7
x=2/7
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