Question

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

Answer 1

`x=-1`

Explanation:

`(7)/(2)x+(1)/(2)x=(1)/(2)+(9)/(2)x`

Step 1: Simplify both sides of the equation.

`(7)/(2)x+(1)/(2)x=(1)/(2)+(9)/(2)x`

`((7)/(2)x+(1)/(2)x)=(9)/(2)x+(1)/(2)` (Combine Like Terms)

`4x=(9)/(2)x+(1)/(2)`

`4x=(9)/(2)x+(1)/(2)`

Step 2: Subtract
`(9)/(2)x` from both sides.

`4x-(9)/(2)x=(9)/(2)x+(1)/(2)-(9)/(2)x`

`(-1)/(2)x=(1)/(2)`

Step 3: Multiply both sides by
`((2)/(-1))`.

`((2)/(-1))*((-1)/(2)x)=((2)/(-1))*((1)/(2))`

`x=-1`

Therefore,
`x=-1` will be your final answer.

Sorry this took very long. I had to calculate all of this.