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2/5x+1=7/5x-2
We move all terms to the left:
2/5x+1-(7/5x-2)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x-2)!=0We get rid of parentheses
x∈R
2/5x-7/5x+2+1=0
We multiply all the terms by the denominator
2*5x+1*5x+2-7=0
We add all the numbers together, and all the variables
2*5x+1*5x-5=0
Wy multiply elements
10x+5x-5=0
We add all the numbers together, and all the variables
15x-5=0
We move all terms containing x to the left, all other terms to the right
15x=5
x=5/15
x=1/3
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