Question

7/2x + 1/2x = 10 + 9/2x

Answer 1

`(7)/(2) x + (1)/(2)x = 10 + (9)/(2) x \\ ( (7)/(2) + (1)/(2) - (9)/(2) )x = 10 \\ ( - 1)/(2) x = 10 \\ - x = (10 * 2) \\ x = - (10 * 2) \\ x = -20`

Answer 2

x=-1/20

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