1/5r+4=3/5r-10

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Solution for 1/5r+4=3/5r-10 equation:



1/5r+4=3/5r-10
We move all terms to the left:
1/5r+4-(3/5r-10)=0
Domain of the equation: 5r!=0
r!=0/5
r!=0
r∈R
Domain of the equation: 5r-10)!=0
r∈R
We get rid of parentheses
1/5r-3/5r+10+4=0
We multiply all the terms by the denominator
10*5r+4*5r+1-3=0
We add all the numbers together, and all the variables
10*5r+4*5r-2=0
Wy multiply elements
50r+20r-2=0
We add all the numbers together, and all the variables
70r-2=0
We move all terms containing r to the left, all other terms to the right
70r=2
r=2/70
r=1/35

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