4-1/2x=5/2x-10

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Solution for 4-1/2x=5/2x-10 equation:



4-1/2x=5/2x-10
We move all terms to the left:
4-1/2x-(5/2x-10)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x-10)!=0
x∈R
We get rid of parentheses
-1/2x-5/2x+10+4=0
We multiply all the terms by the denominator
10*2x+4*2x-1-5=0
We add all the numbers together, and all the variables
10*2x+4*2x-6=0
Wy multiply elements
20x+8x-6=0
We add all the numbers together, and all the variables
28x-6=0
We move all terms containing x to the left, all other terms to the right
28x=6
x=6/28
x=3/14

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