Question

Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation -1/2 x +3 = 4 -1/4 x?

Answer 1

`x=-4`

Explanation:

Given :
`-(1)/(2)x + 3 = 4 -(1)/(4) x`

Solution:

`(1)/(2)x + 3 = 4 -(1)/(4) x`

Now take the constant terms on one side and variable terms on other side .

`-(1)/(2)x + (1)/(4) x=4-3`

`(-1)/(4) x=1`

`x=-4`

Thus the equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation
`-(1)/(2)x + 3 = 4 -(1)/(4) x` is
`x=-4`

Answer 2

Answer: x = -4

Explanation:

`-(1)/(2)x + 3 = 4 - (1)/(4)x`

`-(1)/(2)x(4) + 3(4) = 4(4) - (1)/(4)x(4)`

-2x + 12 = 16 - x

+2x +2x

12 = 16 + x

-16 -16

-4 = x