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Answer:
x=-1/20
Step-by-step explanation:
7/2x+1/2x=10+9/2x
We move all terms to the left:
7/2x+1/2x-(10+9/2x)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
7/2x+1/2x-(9/2x+10)=0
We get rid of parentheses
7/2x+1/2x-9/2x-10=0
We multiply all the terms by the denominator
-10*2x+7+1-9=0
We add all the numbers together, and all the variables
-10*2x-1=0
Wy multiply elements
-20x-1=0
We move all terms containing x to the left, all other terms to the right
-20x=1
x=1/-20
x=-1/20
Answer:
[tex] \frac{7}{2} x + \frac{1}{2}x = 10 + \frac{9}{2} x \\ ( \frac{7}{2} + \frac{1}{2} - \frac{9}{2} )x = 10 \\ \frac{ - 1}{2} x = 10 \\ - x = (10 \times 2) \\ x = - (10 \times 2) \\ x = -20[/tex]