7+1/2x=5/2x-1

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Solution for 7+1/2x=5/2x-1 equation:



7+1/2x=5/2x-1
We move all terms to the left:
7+1/2x-(5/2x-1)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x-1)!=0
x∈R
We get rid of parentheses
1/2x-5/2x+1+7=0
We multiply all the terms by the denominator
1*2x+7*2x+1-5=0
We add all the numbers together, and all the variables
1*2x+7*2x-4=0
Wy multiply elements
2x+14x-4=0
We add all the numbers together, and all the variables
16x-4=0
We move all terms containing x to the left, all other terms to the right
16x=4
x=4/16
x=1/4

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