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t1/2t+8=5/2t-10
We move all terms to the left:
t1/2t+8-(5/2t-10)=0
Domain of the equation: 2t!=0
t!=0/2
t!=0
t∈R
Domain of the equation: 2t-10)!=0We get rid of parentheses
t∈R
t1/2t-5/2t+10+8=0
We multiply all the terms by the denominator
t1+10*2t+8*2t-5=0
We add all the numbers together, and all the variables
t+10*2t+8*2t-5=0
Wy multiply elements
t+20t+16t-5=0
We add all the numbers together, and all the variables
37t-5=0
We move all terms containing t to the left, all other terms to the right
37t=5
t=5/37
t=5/37
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