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1/5x+12=3/5x-14
We move all terms to the left:
1/5x+12-(3/5x-14)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x-14)!=0We get rid of parentheses
x∈R
1/5x-3/5x+14+12=0
We multiply all the terms by the denominator
14*5x+12*5x+1-3=0
We add all the numbers together, and all the variables
14*5x+12*5x-2=0
Wy multiply elements
70x+60x-2=0
We add all the numbers together, and all the variables
130x-2=0
We move all terms containing x to the left, all other terms to the right
130x=2
x=2/130
x=1/65
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