6-5/6x=7/6x-4

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Solution for 6-5/6x=7/6x-4 equation:



6-5/6x=7/6x-4
We move all terms to the left:
6-5/6x-(7/6x-4)=0
Domain of the equation: 6x!=0
x!=0/6
x!=0
x∈R
Domain of the equation: 6x-4)!=0
x∈R
We get rid of parentheses
-5/6x-7/6x+4+6=0
We multiply all the terms by the denominator
4*6x+6*6x-5-7=0
We add all the numbers together, and all the variables
4*6x+6*6x-12=0
Wy multiply elements
24x+36x-12=0
We add all the numbers together, and all the variables
60x-12=0
We move all terms containing x to the left, all other terms to the right
60x=12
x=12/60
x=1/5

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