6/5x-8=1/5x-4

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Solution for 6/5x-8=1/5x-4 equation:



6/5x-8=1/5x-4
We move all terms to the left:
6/5x-8-(1/5x-4)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x-4)!=0
x∈R
We get rid of parentheses
6/5x-1/5x+4-8=0
We multiply all the terms by the denominator
4*5x-8*5x+6-1=0
We add all the numbers together, and all the variables
4*5x-8*5x+5=0
Wy multiply elements
20x-40x+5=0
We add all the numbers together, and all the variables
-20x+5=0
We move all terms containing x to the left, all other terms to the right
-20x=-5
x=-5/-20
x=1/4

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